Question

1) Factorize: 3x
2 – 13x – 5
2) Factorize: 2x
3 – 3x
2 – 17x + 30
3) Factorize: 16x2 + 4y
2 + 9z2 – 16xy -12yz + 24xz
4) Simplify: (a – b)(a + b)(a
2 + ab + b2
) (a
2 – ab + b2
)

Answer 1

Answer:

Solution

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Correct option is D)

2x

3

−3x

2

−17x+30

=2x

3

+2x

2

−12x−5x

2

−5x+30

=2x(x

2

+x−6)−5(x

2

+x−6)

=(x

2

+x−6)(2x−5)

=(x

2

+3x−2x−6)(2x−5)

=[x(x+3)−2(x+3)](2x−5)

=(x+3)(x−2)(2x−5)

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