Expand the expression (-x^2+4x+-6)^2

 Exercise

$\left(-x^2+4x-6\right)^2$

 

Expand the trinomial using the formula $\left(a+b+c\right)^2 = a^2 + b^2 + c^2 + 2ab + 2ac + 2bc$

$x^{4}+\left(4x\right)^2+36-8x^2x+12x^2-48x$

 

When multiplying exponents with same base you can add the exponents: $-8x^2x$

$x^{4}+\left(4x\right)^2+36-8x^{3}+12x^2-48x$

 

The power of a product is equal to the product of it's factors raised to the same power

$x^{4}+16x^2+36-8x^{3}+12x^2-48x$

 

Combining like terms $16x^2$ and $12x^2$

$x^{4}+28x^2+36-8x^{3}-48x$

$x^{4}+28x^2+36-8x^{3}-48x$

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