Question

Factorize 9x²-1-(1-3x)(2x+5)

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Answer 1

Explanation:

9x²-1-(1-3x)(2x+5)
=9x²-1-(-3x+1)(2x+5)
=9x²-1+3x(2x+5)-1(2x+5)

=9x²+6x²+15x-2x-5-1

=15x²+13x-6

=15x²+(18-5)x-6

=15x²+18x-5x-6

=3x(5x+6)-1(5x+6)

Ans. (3x-1)(5x+6)

Answer 2

(3x-1)(5x+6)

Explanation:

`9x^2-1-(1-3x)(2x+5) \\ \\ =(3x-1)(3x+1)-(1-3x)(2x+5) \\ \\ =(3x-1)(3x+1)+(3x-1)(2x+5) \\ \\ =(3x-1)(5x+6)`