a ) \(24a^2b-36ab^2-60b^3\)
\(=12b\left(2a^2-3ab-5b^2\right)\)
b ) \(2x^2y-3x+3x^2-2xy\)
\(=\left(2x^2y-2xy\right)+\left(3x^2-3x\right)\)
\(=2xy\left(x-1\right)+3x\left(x-1\right)\)
\(=\left(2xy+3x\right)\left(x-1\right)\)
\(=x\left(2y+3\right)\left(x-1\right)\)
c ) \(x^2-y^2-6x+9\)
\(=\left(x^2-6x+9\right)-y^2\)
\(=\left(x-3\right)^2-y^2\)
\(=\left(x-3-y\right)\left(x-3+y\right)\)
:D
\(a,2a^2b-36ab^2-60b^3\)
\(=12b\left(2a^2-3ab-5b^2\right)\)
\(=12b\left(2a^2-5ab+2ab-5b^2\right)\)
\(=12b\left[a\left(2a-5b\right)+b\left(2a-5b\right)\right]\)
\(=12b\left(a+b\right)\left(2a-5b\right)\)
\(b,2x^2y-3x+3x^2-2xy\)
\(=\left(2x^2y-2xy\right)+\left(3x^2-3x\right)\)
\(=2xy\left(x-1\right)+3x\left(x-1\right)\)
\(=\left(2xy+3x\right)\left(x-1\right)\)
\(=x\left(2y+3\right)\left(x-1\right)\)
\(c,x^2-y^2-6x+9\)
\(=\left(x^2-6x+9\right)-y^2\)
\(=\left(x^2-2.x.3+3^2\right)-y^2\)
\(=\left(x-3\right)^2-y^2\)
\(=\left(x-3-y\right)\left(x-3+y\right)\)
Chúc bạn hok tốt!!!
\(a.\) \(24a^2b-36ab^2-60b^3\)
\(=24a^2b-60ab^2+24ab^2-60b^3\)
\(=\left(24a^2b+24ab^2\right)+\left(-60ab^2-60b^3\right)\)
\(=24ab\left(a+b\right)-60b^2\left(a+b\right)\)
\(=\left(24ab-60b^2\right).\left(a+b\right)\)
