Question

Salut!!✌
Plz help me......

Simplify:-
$(5 {x}^{2} + 3x - 7)(x - 1) - (2 {x}^{2} + 3x - 4)(2x - 3)$
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Answer 1

Step-by-step explanation:

$(5 {x}^{2} +3x−7)(x−1)− \\ (2 {x}^{2} +3x−4)(2x−3) \\ \\ x(5 {x}^{2} + 3x - 7) - 1(5 {x}^{2} + 3x - 7) - \\ (2x(2 {x}^{2} +3x−4) - 3(2 {x}^{2} +3x−4)) \\ \\ 5 {x}^{3} + 3 {x}^{2} - 7x - 5 {x}^{2} - 3x + 7 - \\ (4 {x}^{3} + 6 {x}^{2} - 8x - 6 {x}^{2} - 9x + 12) \\ \\ 5 {x}^{3} - 2 {x}^{2} - 10x + 7 - \\ (4 {x}^{3} - 17x + 12) \\ \\ {x}^{3} - 2 {x}^{2} + 7x - 5$

Answer 2

Question :

Simplify

$\sf\:(5x^2+3x-7)(x-1)-(2x^2+3x-4)(2x-3)$

Solution :

We have to Simplify

$\rm\:(5x^2+3x-7)(x-1)-(2x^2+3x-4)(2x-3)$

Let's solve the problem :

$\sf\:(5x^2+3x-7)(x-1)-(2x^2+3x-4)(2x-3)$

$\sf=[x(5x^2+3x-7)-1(5x^2+3x-7)]-[2x(2x^2+3x-4)-3(2x^2+3x-4)]$

$\sf=[(5x^3+3x^2-7x-5x^2-3x+7)]-[(4x^3+6x^2-8x-6x^2-9x+12)]$

$\sf=5x^3+3x^2-7x-5x^2-3x+7-4x^3-6x^2+8x+6x^2+9x-12$

Now Rearrange the terms

$\sf=x^3(5-4)+x^2(3-5-6+6)+x(-7-3+8+9)+7-12$

$\sf=x^3(1)+x^2(-2)+x(7)-5$

$\sf=x^3-2x^2+7x-5$

It is the required solution !