Question

100x^2-4(7x-2y)^2 Разложить на множители

Answer 1

(100x-2(7x-2y))(100x+2(7x-2y)=(86x-4y)(114x-4y),
а можно так:100x^2-4(49x^2-28x+4y^2)=100x^2-(196-112x+16y^2)=
=100x^2-(14x-4y)^2=(100x-14x+4y)(100x+14x-4y)=(86x+4y)(114x-4y)