Question

1. Find each of the following products.

i) (x+6) (x+6)

ii) (4x + 5y) (4x + 5y)

iii) (x-4) (x-4)

iv) (3x-5)²

v) (2x+5) (2x-5)

vi) (x+3) (x-3) ​

Answer 1

Answer:

i. Given that (x+6)(x+6)

But we can write the given expression as (x+6)(x+6)=(x+6)2

And we have (a+b)2=a2+2ab+b2

On applying above identity in the given expression we get,

(x+6)2=x2+2x(6)+62

∴(x+6)2=x2+12x+36