Question

Factorise:4 a² y +4a² +4axy +4ax
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Answer 1

Answer:

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Step-by-step explanation:

Given : 4a

2

−ab

2

+4a+1

We can write it as

4a

2

−ab

2

+4a+1=(4a

2

+4a+1)−4b

2

We get,

4a

2

−ab

2

+4a+1=[(2a)

2

+2×2a×1+1

2

]−(2b)

2

On further calculation

4a

2

−ab

2

+4a+1=(2a+1)

2

−(2b)

2

Based on the equation a

2

−b

2

=(a+b)(a−b)

Using the formula

4a

2

−ab

2

+4a+1 =(2a+1+2b)(2a+1−2b)

So we get

4a

2

−ab

2

+4a+1=(2a+2b+1)(2a