Question

(3 – 5y)2solve it using identities

Answer 1

Step-by-step explanation:

Given :-

(3-5y)²

To find:-

Expand (3-5y)² using identities

Solution:-

Given expression is (3-5y)²

It is in the form of (a-b)²

Here, a= 3 and b = 5y

We know that

(a-b)² = a²-2ab+b²

(3-5y)²= (3)²-2(3)(5y)+(5y)²

=>(3-5y)²=9-30y+25y²

Answer:-

(3-5y)²=9-30y+25y²=25y²-30y+9

Used formula:-

• (a-b)²=a²-2ab+b²

Some more identities:-

• (a+b)²=a²+2ab+b²

• (a+b)(a-b)=a²-b²

• (x+a)(x+b)=x²+(a+b)x+ab