Multiplication of Polynomials

Q.

What is the formula for ${\left(a-b-c\right)}^2$?

Q. Multiply:
(i) x² + y² + z² − xy + xz + yz by x + y − z

(ii) x² + 4y² + z³ + 2xy + xz − 2yz by x − 2y − z

(iii) x² + 4y² + 2xy − 3x + 6y + 9 by x − 2y + 3

(iv) 9x² + 25y² + 15xy + 12x − 20y + 16 by 3x − 5y + 4

Q.

If $(3x-4)(5x+7)=15x^2-ax-28$, then find the value of a.

1. 1

2. - 1

3. - 2

4. None of these

Q. Simplify: $\frac{(3x-2y)(3x+4y)-(3x+2y)(3x-2y)}{(-4y^2+6xy)}$

Q.

Find the product of $(x+y-z+p)$ and $xyzp$.

1. $2xyzp-xy{z}^{2}p+xyz{p}^2$

2. $x^{2}yzp+x{y}^{2}zp-xy{z}^{2}p+xyz{p}^2$

3. $2xyzp+xy{z}^{2}p+xyz{p}^2$

4. $x^{2}yzp+x{y}^{2}zp+xy{z}^{2}p+xyz{p}^2$

Q. Which of the following is a binomial?
(a) x² + x + 3
(b) x² + 4
(c) 2x²
(d) $x+3+\frac{1}{x}$

Q.

Number of terms in the expression $a^2+bc\times d$ is __.

Q. Solve $2n^2-13n+20=0$

Q. The number of terms that you get on simplifying (3x + 5)(x - 4) is.

1. 1
2. 2
3. 3
4. 4

Q. Arrange the following in the decreasing order based on the number of terms in the result after multiplication.

1. x( 2 +1 )
2. y( 2x+3z+7k+1)
3. x( g +y )
4. y ( k+l+m)

Q. Simplify: $\frac{(3x-2y)(3x+4y)-(3x+2y)(3x-2y)}{(-4y^2+6xy)}$

Q.

the magnitude of X and Y components of A (vector) are 7 and 6. also the magnitude of X and Y component of A (vector)+B(vector) are 11 and 9 respectively .what is the magnitude of B(vector)?