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Multiply:x^2+4y^2+2x y-3x+6y+9 by x-2y+3...

Multiply:`x^2+4y^2+2x y-3x+6y+9` by `x-2y+3`
`(x^2+4y^2+2x y-3x+6y+9)``(x-2y+3)`
`(x-2y+3)(x^2+(-2y^2)+(3)^2-x(-2y)-(-2y)3-3x)`
Now as per the formula,`a^3+b^3+c^3-3abc=a^2+b^2+c^2-ab-bc-ca`
`x^3+(-2y)^3+3^3-3(x)(-2y)(3)`
`x^3-8y^3+27+18xy`

Text Solution

Verified by Experts

`(x^2+4y^2+2x y-3x+6y+9)(x-2y+3)`
`(x-2y+3)(x^2+(-2y^2)+(3)^2-x(-2y)-(-2y)3-3x)`
Now as per the formula,`a^3+b^3+c^3-3abc=a^2+b^2+c^2-ab-bc-ca`
`x^3+(-2y)^3+3^3-3(x)(-2y)(3)`
`x^3-8y^3+27+18xy`
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