Question

Factorise:- 8x^3-18xy^2

Answer 1

`\boxed{\bold{-2x\left(4x^2+9y^2\right)}}`

Explanation:

Apply exponent rule:
`\bold{a^(b+c)=a^ba^c}`

`\bold{x^3=xx^2}`

`\bold{-8xx^2-18xy^2}`

Rewrite -18:
`\bold{9\cdot \:2}`

Rewrite -8:
`\bold{4\cdot \:2}`

`\bold{4\cdot \:2xx^2+9\cdot \:2xy^2}`

Factor common term -2x

`\bold{-2x\left(4x^2+9y^2\right)}`

Regards,

Mordancy