Question

a. 12x-18y
b.$14 x^{2$-21$xy^{2}$+35$x^{3}$$y^{2}$
c.x(b-c)+y(c-b)-z(b-c)
d.(3x+4)(x-y)+(x-y)(x+1)
e. 30xy+ 45$y^{2 }$

Answer 1

a) 6 (2x - 3y)
b) 14x² + 14x³y² - 21xy² + 21x³y² = 
14x² (1 + xy²) - 21xy²( 1 - x²)
c) x(b - c) + y(c - b) - z(b - c) = 
x(b - c) - y(b - c) - z(b - c) = 
(b - c)(x - y - z)
d) (3x + 4)(x - y) + (x - y)(x + 1) = 
(x - y)(3x + 4 + x + 1) = 
(x - y)(5x + 5)=
5(x - y)(x + 1)
e)30xy + 45 y² =
15y(2x + 3y)