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Write the given statement in the form of algebraic expression and write whether it is monomial, binomial or trinomial: The sum of square of x and cube of z.

Answer: As per the condition given in the question = x2 + z3 Therefore, the obtained expression is binomial. A polynomial is defined as an... View Article

Write the given statement in the form of algebraic expression and write whether it is monomial, binomial or trinomial: Quotient of x and 15 multiplied by x.

Answer: Quotient of x and 15 = x ÷ 15 As per the condition given in the question, Quotient of x and 15 multiplied by x (x ÷ 15)x =... View Article

Write the given statement in the form of algebraic expression and write whether it is monomial, binomial or trinomial: Cube of s subtracted from cube of t.

Answer: As per the condition given in the question, t3 - s3 Therefore, the obtained expression is binomial. A cube is a three-dimensional shape... View Article

Write the given statement in the form of algebraic expression and write whether it is monomial, binomial or trinomial: Area of a square with side x.

Answer: Area of square = side × side = x × x = x2 Therefore, the obtained expression is monomial. The area of a square is defined... View Article

Write the given statement in the form of algebraic expression and write whether it is monomial, binomial or trinomial: Area of a triangle with base m and height n.

Answer: Area of triangle = ½ × base × height = ½ × m × n = ½mn Therefore, the obtained expression is... View Article

Write the given statement in the form of algebraic expression and write whether it is monomial, binomial or trinomial: Perimeter of a rectangle with length p and breadth q.

Answer: We know that, perimeter of rectangle = 2 (length + breadth) = 2 (p + q) = 2p + 2q Therefore, the obtained expression is binomial. The... View Article

Write the given statement in the form of algebraic expression and write whether it is monomial, binomial or trinomial: Perimeter of an equilateral triangle of side x.

Answer: In geometry, an equilateral triangle is a triangle that has all its sides equal in length. We know that, perimeter of triangle = sum of... View Article

Write the given statement in the form of algebraic expression and write whether it is monomial, binomial or trinomial: Sum of the products of a and b, b and c and c and a.

Answer: The product of a and b = (a × b) The product of a and b = (b × c) The product of a and b = (c × a) Then, sum of the... View Article

Write the given statement in the form of algebraic expression and write whether it is monomial, binomial or trinomial: Product of p, twice of q and thrice of r.

Answer: As per the condition given in the question, p = p Twice of q = 2q Thrice of r = 3r Product of p, twice of q and thrice of r = p... View Article

Write the given statement in the form of algebraic expression and write whether it is monomial, binomial or trinomial: Three times of p and two times of q are multiplied and then subtracted from r.

Answer: From the question it is given that, Three times of p = 3p Two times of q = 2q Three times of p and two times of q are multiplied = 3p... View Article

Write the given statement in the form of algebraic expression and write whether it is monomial, binomial or trinomial: x is multiplied by itself and then added to the product of x and y

Answer: From the question it is given that, x is multiplied by itself = x × x = x2 The product of x and y = x × y = xy Then, As... View Article

When we add a monomial and a trinomial, then answer can be a monomial. State whether the statement given is True or False.

Answer: When we add a monomial and a trinomial, then answer can be a monomial - False When we add a monomial and a trinomial, then answer can be... View Article

When we subtract a monomial from a trinomial, then answer can be a polynomial. State whether the statement given is True or False.

Answer: When we subtract a monomial from a trinomial, then the answer can be a polynomial - True When we subtract a monomial from a trinomial,... View Article

If we subtract a monomial from a binomial, then answer is at least a binomial. State whether the statement given is True or False.

Answer: If we subtract a monomial from a binomial, then the answer is at least a binomial - False If we subtract a monomial from a binomial,... View Article

If we add a monomial and binomial, then answer can never be a monomial. State whether the statement given is True or False.

Answer: If we add a monomial and binomial, then the answer can never be a monomial - False If we add a monomial and binomial, then the answer... View Article

In like terms, the numerical coefficients should also be the same. State whether the statement given is True or False.

Answer: In like terms, the numerical coefficients should also be the same - False The terms having the same algebraic factors are called like... View Article

The total number of planets of Sun can be denoted by the variable n. State whether the statement given is True or False.

Answer: The total number of planets of the sun can be denoted by the variable n - False We know that, total number of planets is constant. Hence,... View Article

Subtracting a term from a given expression is the same as adding its additive inverse to the given expression. State whether the statement given is True or False.

Answer: Subtracting a term from a given expression is the same as adding its additive inverse to the given - True The additive inverse of the... View Article

Sum of x² + x and y + y² is 2x² + 2y². State whether the statement given is True or False.

Answer: Sum of x2 + x and y + y2 is 2x2 + 2y2 - False Sum of x2 + x and y + y2 (x2 + x) + (y + y2) = x2 + y2 + x + y = x2 + x + y2 + y ∴... View Article

5a and 5b are unlike terms. State whether the statement given is True or False.

Answer: 5a and 5b are unlike terms - True The terms having different algebraic factors are called unlike terms. The like terms are defined as... View Article

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