Question

9x^{2} +6x+1+25y^{2}

Answer 1

Answer:

Step-by-step explanation: 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.

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