Question

ues suitable identities to find the following products.

1. (x+a) (x+10).
2. (3x+4) (3x-4).
3. (4-2x) (4+2x).
4. (5+3) (5x+2).
5. (y²+2) (y²+4).​

Answer 1

Step-by-step explanation:

1. (x + a) (x + 10)

= x(x + 10) + a(x + 10)

= x^2 + 10x + ax + 10a

2. (3x + 4) (3x - 4)

= 3x(3x - 4) + 4(3x - 4)

= 9x^2 - 12x + 12x - 16

= 9x^2 - 16

3. (4 - 2x) (4 + 2x)

= 4(4 + 2x) - 2x(4 + 2x)

= 16 + 8x - 8x - 4x^2

= 4x^2 + 16

4. (5 + 3) (5x + 2)

= 5(5x + 2) + 3(5x + 2)

= 25x + 10 + 15x + 6

= 10x + 4

5. (y² + 2) (y² + 4)

= y²(y² + 4) + 2(y² + 4)

= y^4 + 4y² + 2y² + 8

= y^4 + 2y² + 8