Question

1-$x^{2}$+10xy-25$y^{2}$
Разложить на множетели

Answer 1

$1- x^{2} +10xy-25y^2=1-(x^2-10xy+25y^2)=1-(x-5y)^2=$$=(1-x+5y)(1+x-5y)$

$(a-b)(a+b)=a^2-b^2$
$(a-b)^2=a^2-2ab+b^2$