Question

phân tích các đa thức sau thành nhân tử
a,x mũ 2-16x+64
b,4x mũ 2-12xy+9y mũ 2
c,(2x-1)mũ 2-4y mũ 2
d,9(x-1)mũ 2-4(x+3)mũ 2
e,25(x+2)mũ 2-9(x-1)mũ 2
f,27x mũ 3-1
g,64x mũ 3+y mũ 3
h,9x mũ 2 y mũ 2-24xy+4
cần gấp ạ

Answer 1

a: =(x-8)^2

b: =(2x-3y)^2

c: =(2x-1-2y)(2x-1+2y)

d: \(=\left(3x-3\right)^2-\left(2x+6\right)^2\)

\(=\left(3x-3-2x-6\right)\left(3x-3+2x+6\right)=\left(x-9\right)\left(5x+3\right)\)

e: \(=\left(5x+10\right)^2-\left(3x-3\right)^2\)

=(5x+10-3x+3)(5x+10+3x-3)

=(2x+13)(8x+7)

f: =(3x-1)(9x^2+3x+1)

Answer 2

`a, (x-8)^2`

`b, (2x-3y)^2`

`c, (2x-1-2y)(2x-1+2y)`

`d, (3x-3-4x-4)(3x-3+ 4x+4)`

`= (-x-7)(7x+1)`

`e, (5x+10-3x+3)(5x+10+3x-3)`

`= (2x+13)(8x+7)`

`f, 27x^3 - 1 = (3x-1)(9x^2+3x+1)`

`g, 64x^3 + y^3 = (4x+y)(16x^2 - 4xy + y^2)`

`h, 9x^2y^2 - 24xy + 4`

`= (3xy-2)^2`