Question

factorise 25(2a - b)^2 - 81b^2​

Answer 1

Step-by-step explanation:

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Answer 2

Given:

An expression 25(2a-b)² -81b²

To Find:

• Factorisation of above expression.

Solution:

We know that,

• x²-y² =(x+y)(x-y)
• 5²= 25

Now,

Given expression is

⇒ 25(2a-b)² -81b²

⇒ (5(2a-b))² -81b²

⇒ (10a-5b)² -(9b)²

⇒ (10a-5b+9b)(10a-5b-9b)

⇒ (10a+4b)(10a-14b)

Hence, factors of above expression are (10a+4b) and (10a-14b).

More Formulae

• (x+y)² =x²+y² +2xy

• (x-y)² =x²+y² -2xy