Question

Simplify: (3x-4)(2x^2-5x+1)-(2x-1)(3x^2-7x-5)

Answer 1

Well, i simplified it to -x2+16x-9 which can be further be simpflyed to

X= 8 + or -, square root of 55 whole divided by 2

Answer 2

Answer :

Now,

$(3x - 4)(2 {x}^{2} - 5x + 1) - (2x - 1)(3 {x}^{2} - 7x - 5) \\ \\ = 3x(2 {x}^{2} - 5x + 1) - 4( 2{x}^{2} - 5x + 1) \\ - 2x(3 {x}^{2} - 7x - 5) + 1(3 {x}^{2} - 7x - 5) \\ \\ = 6 {x}^{3} - 15 {x }^{2} + 3x - 8 {x}^{2} + 20x - 4 \\ - 6 {x}^{3} + 14 {x}^{2} + 10x + 3 {x}^{2} - 7 x- 5 \\ \\ = (6 - 6) {x}^{3} + ( - 15 - 8 + 14 + 3) {x}^{2} \\ + (3 + 20 + 10 - 7)x + ( - 4 - 5) \\ \\ = - 6 {x}^{2} - 26x - 9$

which is the required simplified form.

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