Question

1)(x+2) * x3x+6
2)(-a^32b)^2
3)y^2-43y * 2y^2y^2-2y
4)4abcx+dx * ax+bx2ab

Answer 1

1) (x + 2) · x3x + 6 = x(x + 2)3x = (x² + 2x)3x + 6 · 3x3x = (x² + 2x)3x + 18x3x =
= (x² + 2x + 18x)3x = (x² + 20x)3x = x(x + 20)3x = (x + 20)3
2) (-a³2b)² = (-a³)²(2b)² = (-a^3 · 2)4b² = (-a⁶)4b²
3) (y² - 4)3y · 2y²(y² - 2y) = (y² - 4)2y²3y(y² - 2y) = (y - 2)(y + 2)2y²3y · y(y - 2) =
= (y - 2)(y + 2)2y²3y²(y - 2) = 2(y + 2)3 = (2y + 4)3
4) 4ab(cx + dx) · (ax + bx)2ab = 4abx(c + d) · x(a + b)2ab = 4abx(a + b)2abx ·
· (c + d) =2(a + b)(c + d) = (2a + 2b)(c + d)