Question

49a^-9b^+14a+1
Factorise it

Answer 1

Required Answer:-

Given to factorise:

• 49a² - 9b² + 14a + 1

Solution:

We will arrange the terms properly and then we will factorise it.

49a² - 9b² + 14a + 1

= 49a² + 14a + 1 - 9b²

= [(7a)² + 2 × (7a) × (1) + (1)²] - 9b²

Now, we can see that, 49a² + 14b + 1 can be expressed in (a + b)² from. So,

= (7a + 1)² - 9b²

= (7a + 1)² - (3b)²

= (7a + 3b + 1)(7a - 3b + 1)

Hence, the factorised form of the polynomial is (7a + 3b + 1)(7a - 3b + 1)

Answer:

• The factorised form of the polynomial is (7a + 3b + 1)(7a - 3b + 1)

Answer 2

Answer:

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