Question

Выполните действия (2y+1/4)^2 (-7x-1)^2 (a^2-2b)^2 (8x+x^3)^2 (3x-1/3)^2 (-6x-1)^2 (4a-b^2)^2 (x^4-9x)^2

Answer 1

$(-7x-1)^2=[(-1)(7x+1)]^2=(-1)^2(7x+1)^2=$
$=(7x)^2+2*7x*1+1=49x^2+14x+1$

$(a^2-2b)^2=a^4-4a^2b+4b^2$

$(8x+x^3)^2=64x^2+16x^4+x^6$

$(3x- \frac{1}{3} )^2=9x^2-2x- \frac{1}{9}$

$(-6x-1)^2=(6x+1)^2=36x^2+12x+1$

$(4a-b^2)^2=16a^2-8ab^2+b^4$

$(x^4-9x)^2=x^8-18x^5+81x^2$