Выполните действия a) 3(1+2xy)(1-2xy) b) (a+b)^2-(a-b)^2 c) (x^2-y^3)^2

Question

Выполните действия
a) 3(1+2xy)(1-2xy)
b) (a+b)^2-(a-b)^2
c) (x^2-y^3)^2

Answer 1

3(1+2ху)(1-2ху)=3(1-4x^2y^2)=3-12x^2y^2

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

(x^2-y^3)^2=x^4-2x^2y^3+y^6

Answer 2

A) = (3 + 6xy)(1 - 2xy) = 3 - 6xy + 6xy - 12x^(2)y^(2) = 3 - 12x^(2)y^(2)

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

c) = x^(4) + x^(2)y^(3) - x^(2)y^(3) - y^(6) = x^(4) - y^(6)