Question

(5y+1)²-4(y-1)² how to solve it​

Answer 1

Answer:

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

Step-by-step 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.