Question

Add 2x^3-9x^2+8; 3x^2-6x-5; 7x^3-10x+1; 3+2x-5x^2-4x^3

Answer 1

$Let \: A = 2x^3-9x^2+8\: B= 3x^2-6x-5$

$C = 7x^3-10x+1\:and \:D = 3+2x-5x^2-4x^3$

$Now , \red{ A+B+C+D}$

= 2x^3-9x^2+8[/tex]

$+ 3x^2-6x-5$

$+ 7x^3-10x+1$

$+ 3+2x-5x^2-4x^3$

$= 2x^{3} + 7x^{3}-4x^{3} -9x^{2}+3x^{2}-5x^{2}$

$-6x-10x+2x +8 -5+1+3$

$= (2+7-4)x^{3} +(-9+3-5)x^{2}+(-6-10+2)x+7$

$= 5x^{3} - 11x^{2} - 14x + 7$

Therefore.,

$\red{ Required \:sum }$

$\green{ = 5x^{3} - 11x^{2} - 14x + 7}$

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