Question

(5y+1)²-4(y-1)² how to solve it​

Answer 1

`(5y + 1)^(2) - (2(y - 1))^(2)`

Explanation:

1) Rewrite it in the form a² - b², where a = 5y + 1 and b = 2(y - 1 ).

`(5y + 1) ^(2) - (2(y - 1)) ^(2)`

2) Use multiplication Distributive Property: (xy)^a = x^a y^a.

`(5y + 1)^(2) - {2}^(2) (y - 1 {)}^(2)`

3) Simplify 2² to 4.

`(5y + 1 {)}^(2) - 4(y - 1 {)}^(2)`

4) Rewrite it in the form a² - b², where a = 5y + 1 and b = 2(y-1).

`(5y + 1 {)}^(2) - (2(y - 1))^(2)`

Therefor, the answer is ( 5y + 1 )² - (2( y - 1 ))².