Question

phân tích đa thức sau thành nhân tử:

a, 3a³b - 15a²b³ b, 2x²y³ - 12xy² c, 27x(x-1)- 18y(x-1)

d, x(y-1) +3(y-1) e, 4a(x+y) - 7(y+x) f, 2x(x-1) - 5a(1-x)

g, x² - 9y² h, 16- 8x+x² n, x² + 6xy+9y²

^{giúp tớ nhé!!}

Answer 1

a) Ta có: \(3a^3b-15a^2b^3\)

\(=3a^2b\left(a-5b^2\right)\)

b) Ta có: \(2x^2y^3-12xy^2\)

\(=2xy^2\left(xy-6\right)\)

c) Ta có: 27x(x-1)-18y(x-1)

\(=\left(x-1\right)\cdot9\cdot\left(3x-2y\right)\)

d) Ta có: x(y-1)+3(y-1)

=(y-1)(x+3)

e) Ta có: 4a(x+y)-7(y+x)

=4a(x+y)-7(x+y)

=(x+y)(4a-7)

f) Ta có: 2x(x-1)-5a(1-x)

=2x(x-1)+5a(x-1)

=(x-1)(2x+5a)

g) Ta có: \(x^2-9y^2\)

\(=\left(x-3y\right)\left(x+3y\right)\)

h) Ta có: 16-8x+x²

=(x-4)²

n) Ta có: \(x^2+6xy+9y^2\)

\(=\left(x+3y\right)^2\)