(2x-5)(x-3) - (3x+2)(3-x) factorisation (3x-5)2 - (x+2)2.... Pergunta de ideia deLovely0girl

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April 2019 2 95 Report

(2x-5)(x-3) - (3x+2)(3-x) factorisation (3x-5)2 - (x+2)2

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Commentaires (2)

Verified answer

$(2x-5)(x-3)-(3x+2)(3-x)=(2x-5)(x-3)+(3x+2)(x-3)$
$(2x-5)(x-3)+(3x+2)(x-3)=(x-3)(5x-3)$

$(3x-5)^2-(x+2)2=(3x-5-x-2)(3x-5+x+2)$
$(3x-5-x-2)(3x-5+x+2)=(2x-7)(4x-3)$

1 votes Thanks 1

Miky93

Verified answer

$(2x-5)(x-3)-(3x+2)(3-x)= \\\\ = (2x-5)(x-3)-[-(3x+2)(x-3)]= \\\\ =(2x-5)(x-3)+(3x+2)(x-3)= \\\\ =(x-3)[(2x-5)+(3x+2)]= \\\\ = (x-3)(2x-5+3x+2)=\\\\ = \boxed{(x-3)(5x-3)}$

$(3x-5)^2-(x+2)^2= \\\\ =[(3x-5)-(x+2)][(3x-5)+(x+2)]= \\\\ =(3x-5-x-2)(3x-5+x+2)= \\\\ =\boxed{(2x-7)(4x-3)}$

1 votes Thanks 1