Question

expand using identities 1) (x+5)(x+5) 2)(x+4)(x-3) (3x-5y) ^2

Answer 1

Hey friends!!

---------------------------------------------------------

Here is your answer ↓

---------------------------------------------------------

Q. 1 => (x+5)(x+5).

→ (x+5)(x+5).

→ (x+5)².

[ Expand using identity:- (a+b)²=a²+2ab+b²].

→ (x)²+2(x)(5)+(5)².

→ x²+10x+25✔✔.

=> In Question 2 there is a mistake, I think (x-3) is not applicable, if possible it is (x+3).
You can check your question.

Q. 2 => (x+4)(x+3).

→ (x+4)(x+3).

[ Expand using identity:- (x+a)(x+b)= x²+(a+b)x+ab].

→ x²+(4+3)x+4×3.

→ x²+4x+3x+12.

→ x²+7x+12✔✔.

Q. 3 => (3x-5y)².

→ (3x-5y)².

[ Expand using identity:- (a-b)²= a²-2ab+b²].

→ (3x)²-2(3x)(5y)+(5y)².

→ 9x²-30xy+25y²✔✔.

Thanks ..

☺☺☺ hope it is helpful for you ✌✌✌.

Answer 2

1) x^2+10x+25 hope this answer help you so