Question

Як розділити на множники вираз:
(4х-3y)*(х+2у)+2х(х+2у)

Answer 1

В*А+С*А=(В+С)*А
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$(4x-3y)(x+2y)+2x(x+2y)=((4x-3y)+2x)(x+2y)=\\(4x-3y+2x)(x+2y)=\\(6x-3y)(x+2y)=(3*2x-3*y)(x+2y)=3(2x-y)(x+2y)$