Question

bài 1 phân tích đa thức thành phần tử
a) 5(x+4)-2x(4+x)
b) (x-2017)x-5(2017-x)
c) (x+1)^2-(x+1)
d) 9x^2(y-1)-18x(1-y)
e) 100x^2y-25xy^2-5xy
f) (n+1).n-(n+1).3
làm hết đó nha thank mấy bạn làm

Answer 1

a) \(5\left(x+4\right)-2x\left(4+x\right)\)

\(=\left(x+4\right)\left(5-2x\right)\)

b) \(\left(x-2017\right)x-5\left(2017-x\right)\)

\(=\left(x-2017\right)x+5\left(x-2017\right)\)

\(=\left(x-2017\right)\left(x+5\right)\)

c) \(\left(x+1\right)^2-\left(x+1\right)\)

\(=\left(x+1\right)\left(x+1-1\right)\)

= \(x\left(x+1\right)\)

d) \(9x^2\left(y-1\right)-18x\left(1-y\right)\)

\(=9x^2\left(y-1\right)+18x\left(y-1\right)\)

\(=\left(y-1\right)\left(9x^2+18x\right)\)

\(=9x\left(y-1\right)\left(x+2\right)\)

e) \(100x^2y-25xy^2-5xy\)

\(=5xy\left(20x-5y-1\right)\)

f) \(\left(n+1\right)n-\left(n+1\right)3\)

\(=\left(n+1\right)\left(n-3\right)\)