Question

Factorise the following ; 9x² + 6x + 1 - 25 y²

Answer 1

Answer:

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Part (1)

9x

2

+6x+1−25y

2

=(3x)

2

+2×3x×1+(1)

2

−(5y)

2

=(3x+1)

2

−(5y)

2

∴(a

2

−b

2

=(a+b)(a−b))

=(3x+1+5y)(3x+1−5y)

Hence, this is the answer

Part (2)

a 2 +b 2 +2ab

=a 2 +ab+ab+b 2

=a(a+b)+b(a+b)

=(a+b)(a+b)

And

2bc+2ca

=2c(b+a)

=2c(a+b)

Hence, this is the answer.

Answer 2

9x² + 6x + 1 - 25 y²

= (3x)²+2*3x*1+(1)² -25y²

= (3x+1)²-(5y)²

= (3x+1+5y)(3x+1-5y)

= (3x+5y+1)(3x-5y+1) Ans.