Multiplication using FOIL Rule

Q.

Multiply the following:

$xy,x-y$

Q.

Multiply the binomials: $(2.5l-0.5m)$ and$(2.5l+0.5m)$

Q.

Multiply the binomials: $\left(y-8\right)$ and $\left(3y-4\right)$

Q.

Multiply the binomials: $\left(a+3b\right)$ and$(2.5l+0.5m)$

Q. Simplified form of $(x+x^2)(x+x^2)$ is

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

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. 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. Simplified form of $a(2a+4a^2-6a^3)$ is $2a^2+$$-$

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

Q. Simplified form of the algebraix expression $(0.5u^3-u^2)(0.5u^3-u^2)=$$u^6-u^5+$

1. $0.25$
2. $u^4$
3. $1$
4. $u^3$

Q.

Multiply the following:

$3a,b+c$

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. 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. $a-b$ times $a+b$ is equal to

1. $a^2-b^2-2ab$
2. $a^2-b^2+2ab$
3. $a^2-b^2$

Q. $16x+4z$ times $(-2y-8x)$ is equal to

1. $-128x^2-32xy-32xz-8yz$
2. $-128y^2-32xy-32xz-8yz$

Q. $(2r+s)\times (2t+19u)=$

1. $4rt+38ru+2su+19st$
2. $4rt+38ru+2st+19su$
3. $4ru+38rt+2su+19st$