Question

Factorize: 7 (x-2y)²-25(x-2y) +12​

Answer 1

Let x -2y = P =7p2 -25p +12 Splitting the middle term,

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Factorisation

Factorise : 7(x - 2y)^2 - ...

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Factorise : 7(x−2y)

2

−25(x−2y)+12

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ANSWER

Given : 7(x−2y)

2

−25(x−2y)+12

Let us consider x−2y=z

So we get,

=7z

2

−25z+12

We can further write it as

=7z

2

−21z−4z+12

By taking out the common terms

=7z(z−3)−4(z−3)

=(7z−4)(z−3)

Let us replace z by x−2y

So we get

7(x−2y)

2

−25(x−2y)+12

Then,

=(7(x−2y)−4)((x−2y)−3)

=(7x−14y−4)(x−2y−3)

7(x−2y)

2

−25(x−2y)+12=(2a−b+1)(18a−9b−13)

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Answer 2

Answer:

hope it's help full for u