Question

fatore cada expressão abaixo
a)9x²y+15xy² d)a²-10a+25
b)xy-3x+y-3 e)2x²-3x+4xy-6y
c)a²-4b² f)12x²-21x​

Answer 1

Resposta:

$a)~~9x^{2}y+15xy^{2}=3xy(3x+5y)\\ \\b)~~xy-3x+y-3=(xy+y)-(3x+3)=y(x+1)-3(x+1)\\ \\c)~~a^{2}-4b^{2}=(a+2b)(a-2b)\\ \\d)~~a^{2}-10a+25=(a-5)^{2}\\ \\e)~~2x^{2}-3x+4xy-6y=(2x^{2}-3x)+(4xy-6y)=x(2x-3)+2y(2x-3)\\ \\f)~~12x^{2}-21x=3x(4x-7)$