Bài 1:
a, 5x(2x^2-3x+7)= 10x^3 - 15x^2 + 35x
b, (2x+y)(x-y)= 2x^2 - 2xy + xy -y^2
Bài 2:
a, 2x^2 - 4xy = 2x(x-2y)
b, a^2 - b^2 +4a + 4b = (a-b)(a+b) +4(a+b) = (a-b+4)(a+b)
Bài 3:
1, a, x^3 - 144x = 0
x(x^2 - 144) = 0
x(x^2 - 12^2) = 0
x(x-12)(x+12) = 0
TH1: x = 0
TH2: x-12=0 ⇒ x=12
TH3: x+12=0 ⇒ x=-12
Vậy x ∈ { 0; 12; -12}
b, 2x(3x- 5) - 3x(2x+4) = 44
6x^2 - 10x - 6x^2 - 12x = 44
-22x = 44
x= -2
Vậy x = -2
2, 73^2 + 27^2 + 54.73
= 27^2 + 2.27.73 + 73^2 (HĐT số 1)
= (27+73)^2 = 100^2 = 10000
3, a,$\frac{1}{4}$ x^4.y^5 : ($\frac{-1}{2}$ x^3Y^2) = $\frac{-1}{2}$ xy^3
b, ( 16x^4y^3 -20x^2y3 - 4x^4y^4 ) : 4x^2y^2 = 4xy - 5y - x^2y^2