Question

Factorize:- 1. 2x²-7x-15. 2. 6x²-5x-21. 3. 5x²-16x-21. 4. 2x²-x-21. 5. 15x²-x-28. 6. 8a²-27ab+9b². 7. 5x²+33xy-14y². 8. 3x³-x²-10x. 9. 2√3x²+x-5√3. 10. 5√5x²+20x+3√5.

Answer 1

Hi friend ,

1. 2x^2 -7x -15
2x^2 -( 10-3) x-15
2x^2-10x+3x-15
2x(x-5)+3(x-5)
(x-5) (2x+3)

2. 6x^2 +5x-21
6x^2 +(14-9)x-21
6x^2 +14x-9x-21
2x(3x+7)-3(3x+7)
(3x+7) (2x-3)

3. 5x^2-16x-21
5x^2-21x+5x-21
x(5x-21)+1(5x-21)
(5x-21) (x+1)

4. 2x^2-x-21
2x^2-7x+6x-21
x(2x-7)+3(2x-7)
(2x-7) (x+3)

5. 15x^2-x-28
15x^2-21x+20x-28
3x(5x-7)+4(5x-7)
(5x-7) (3x+4)

6. 8a^2-27ab+9b^2
8a^2-24ab-3ab+9b^2
8a(a-3b)-3b(a-3b)
(a-3b) (8a-3b)

7. 5x^2+33xy-14y^2
5x^2+35xy-2xy-14y^2
5x(x+7y)-2y(x+7y)
(x+7y) (5x-2y)

8. 3x^3-x^2-10x
3x^3-6x^2+5x^2-10x
3x^2(x-2)+5x(x-2)
(x-2) (3x^2-5)

9. 2√3x^2 +x-5√3
2√3x(x+√3)-5(x+√3)
(x+√3) (2√3x-5)

10. 5√5x^2+20x+3√5
5x(√5x+3)+√5(√5x+3)
(√5x+3) (5x+√5)

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Hope this helped u..
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Answer 2

Here is the answer in pic...