Identity (x+a)(x+b)

Q.

Use suitable identity to find the product of $(x+8)(x-10)$

Q. Find the following product:

$\left(iii\right)$ $(2a-3b-2c)(4a^2+9b^2+4c^2+6ab-6bc+4ca)$

Q.

Use the identity$(x+a)(x+b)=x^2+(a+b)x+ab$ to find the following product.

$(2a^2+9)(2a^2+5)$

Q. Use suitable identities to find the following products:
(i) $(x+4)(x+10)$
(ii) $(x+8)(x-10)$
(iii) $(3x+4)(3x-5)$
(iv) $(y^2+\frac{3}{2})(y^2-\frac{3}{2})$
(v) $(3-2x)(3+2x)$

Q. Expand (x+6)(x+8) using suitable identity.

1. $x^2+14x+48$
2. $x^2+2x+48$
3. $x^2+14x+24$
4. $x^2+2x+24$

Q. Simplify $(x+2)(x+4)-(x+1)(x-1)$.

1. $6x+7$
2. $6x+9$
3. $x^2+6x+9$
4. $-6x+9$

Q.

The distance between A (1, 3) and B (x, 7) is 5. The value of x (> 0) is :

1. 2

2. 1

3. 3

4. 4

Q. $\text{If}(x+a)(x+b)=x^2+5x+6,\text{what is the value of}(a-b)\text{if}(a-b)>0?$

Q.

$(x+a)(x+b)=x^2+(a+b)x+ab$

1. True
2. False

Q.

Use a suitable identity to get following products

$\left(2y+5\right)\left(2y+5\right)$

Q. The expansion of the algebraic identity ( x + a ) ( x + b ) is:

1. $x^2+abx+2ab$
2. $x^2+abx+ab$
3. $x^2+(a+b)x+ab$
4. $x^2+(a+b)x+2ab$

Q. Simplify $(x+2)(x+4)-(x+1)(x-1)$.

1. $6x+9$
2. $x^2+6x+9$
3. $-6x+9$
4. $6x+7$

Q. $\text{If}(x+a)(x+b)=x^2+5x+6,\text{what is the value of}(a-b)\text{if}(a-b)>0?$

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

Q. The product of $(x^2-1)(x^4+x^2+1)$ is equal to

Q. Calculate $103\times 107$ using algebraic identities.

1. 10121
2. 11021
3. 10021
4. 12011

Q. Factorise:
$2x^2+y^2+8z^2–2\sqrt{2}xy+4\sqrt{2}yz–8xz$ [3 MARKS]