Question

factorise the following
16x^2+24xy+9y^2​

Answer 1

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We know 16x

2

+24xy+9y

2

=(4x)

2

+2(4x)(3y)+(3y)

2

We know appropriate identities is x

2

+2xy+y

2

=(x+y)

2

Here x=4x and y=3y

Thus (4x)

2

+2(4x)(3y)+(3y)

2

=(4x+3y)

2

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Answer 2

Answer

We know 16x

2

+24xy+9y

2

=(4x)

2

+2(4x)(3y)+(3y)

2

We know appropriate identities is x

2

+2xy+y

2

=(x+y)

2

Here x=4x and y=3y

Thus (4x)

2

+2(4x)(3y)+(3y)

2

=(4x+3y)

2