Question

phân tích thành nhân tử

a) 4x^3 - 14x^2

b) 5y^10 + 15y^6

c) 9x^2 + 15x^2y - 21xy

d) 10x(x-y)-8y(y-x)

Answer 1

a) \(4x^3-14x^2\)

\(=2x^2\left(2x-7\right)\)

b) \(5y^{10}+15y^6\)

\(=5y^6\left(y^4+3\right)\)

c) \(9x^2+15x^2y-21xy\)

\(=3x\left(3x+5xy-7y\right)\)

d) \(10x\left(x-y\right)-8y\left(y-x\right)\)

\(=10x\left(x-y\right)+8y\left(x-y\right)\)

\(=\left(x-y\right)\left(10x+8y\right)\)

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

Answer 2

\(a,4x^3-14x^2\)

\(=2x^3.2x-2x^3.7\)

\(2x^2\left(2x-7\right)\)

\(b,5y^{10}+15y^6\)

\(5y^6.y^4+5y^6.3\)

\(=5y^6\left(y^4+3\right)\)

\(c,9x^2+15x^2y-21xy\)

\(=3x\left(3x+5xy-7y\right)\)

\(d,10x\left(x-y\right)-8y\left(y-x\right)\)

\(=10x\left(x-y\right)+8y\left(x-y\right)\)

\(=\left(x-y\right)\left(10x+8y\right)\)

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