Question

Simplify:
19.(3x-4) (2x - 5x + 1) - (2x - 1) (3x² + 7x - 5)​

Answer 1

Answer:

Here is the solution

Hope this helps u

Answer 2

Now,

\begin{gathered}(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\end{gathered}

(3x−4)(2x

2

−5x+1)−(2x−1)(3x

2

−7x−5)

=3x(2x

2

−5x+1)−4(2x

2

−5x+1)

−2x(3x

2

−7x−5)+1(3x

2

−7x−5)

=6x

3

−15x

2

+3x−8x

2

+20x−4

−6x

3

+14x

2

+10x+3x

2

−7x−5

=(6−6)x

3

+(−15−8+14+3)x

2

+(3+20+10−7)x+(−4−5)

=−6x

2

−26x−9

which is the required simplified form

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