Multiplication using FOIL Rule

Q. What will be the cost of painting a wall of area $(m-4y)$ sq m. If cost of painting is $\$(3m-5y)$ per sq m.

1. $\$(3m^2-17my+20y^2)$
2. $\$(3m^2+17my+20y^2)$
3. $\$(3m^2-17my-20y^2)$
4. $\$(3m^2+17my-20y^2)$

Q. Evaluate the product $(5a-3b)(4a+7b)$ using distributive property.

1. $20a^2+23ab-21b^2$
2. $20a^2-23ab+21b^2$
3. $20a^2+23ab+21b^2$
4. $20a^2-23ab-21b^2$

Q. Using suitable identity, the value of $(14{)}^2$ will be

1. 180
2. 192
3. 196
4. 198

Q. Simplify: $(2-2k-k^3)\times (-3k^2)$.

1. $6k^2+6k^3+3k^5$
2. $6k^2+6k^3-3k^5$
3. $-6k^2+6k^3+3k^5$
4. $6k^2-6k^3+3k^5$

Q. Given a rectangle of length $a$ and breadth $b$:


In another rectangle, the length is $2$ units more than the length and breadth is $3$ units less than the breadth of the given rectangle.
Represent the area of another rectangle as an algebraic expression.

1. $ab-3a-2b+6$
2. $ab-3a+2b-6$
3. $ab$
4. $ab+2b-6$

Q. Evaluate the product $(2x+3y)(4x+9y)$ using FOIL rule.

1. $8x^2+30xy+27y^2$
2. $8x^2+6xy+27y^2$
3. $8x^2-30xy+27y^2$
4. $8x^2+30xy-27y^2$

Q. Simplify: $(x+x^2)(x+x^2)$.

1. $2x^2+x^3+x^4$
2. $x^2+x^3+2x^4$
3. $x^2+2x^3+x^4$
4. $x^2+x^3+x^4$

Q.

Write given statement using numbers, literals and sign of basic operations. State what each letter represents.

The area of a rectangle is the product of its length and breadth.

Q. Simplify: $a(2a+4a^2-6a^3)$.

1. $2a+4a^2-6a^3$
2. $2a^2+4a^3-6a^4$
3. $2a^2+4a^2-6a^4$
4. $2a^2+4a^3-6a^3$

Q. Evaluate the product: $(x+4)(x-4)$

1. $x^2+8x-16$
2. $x^2+8x+16$
3. $x^2+16$
4. $x^2-16$

Q. $(3+4{)}^2$ is same as $3^2+4^2.$

1. True
2. False

Q. Simplify: $(0.5u^3-u^2)(0.5u^3-u^2)$

1. $2.5u^6-u^5+u^4$
2. $0.25u^6-u^4$
3. $0.25u^6-u^5+u^4$
4. $u^6-u^5+u^4$