Question

Помогите с решением, объясните пожалуйста как решить, a^2+100ab+25^2
(y+b)^2*(y-b)^2

Answer 1

a^2 + 100ab+25^2(y+b)^2*(y-b)^2=a^2+100ab+(25(y+b)*(y-b))^2= a^2+100ab+(25(y^2-b^2))^2= a^2+100ab+(25y^2-25b^2)^2= a^2+100ab+625y^4-1250b^2y^2+625b^4

Answer 2

$1) a^{2}+100ab+25^{2} = a^{2} + 100ab + 625$
$2) (y+b)^{2}*(y-b)^{2} = ((y+b)*(y-b))^{2} = (y^{2} - b^{2})^{2} = y^{4} - 2b^{2}y^{2}+b^{4}$