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) \(10x\left(x-y\right)-8y\left(y-x\right)\)
\(=10x\left(x-y\right)+8y\left(x-y\right)\)
\(=\left(x-y\right)\left(10x+8y\right)\)
\(=2\left(x-y\right)\left(5x+4y\right)\)
\(a,4x^3-14x^2\)
\(=2x^3.2x-2x^3.7\)
\(2x^2\left(2x-7\right)\)
\(b,5y^{10}+15y^6\)
\(5y^6.y^4+5y^6.3\)
\(=5y^6\left(y^4+3\right)\)
\(c,9x^2+15x^2y-21xy\)
\(=3x\left(3x+5xy-7y\right)\)
\(d,10x\left(x-y\right)-8y\left(y-x\right)\)
\(=10x\left(x-y\right)+8y\left(x-y\right)\)
\(=\left(x-y\right)\left(10x+8y\right)\)
\(=2\left(x-y\right)\left(5x+4y\right)\)
