Expand the expression (a-x)^4

 Exercise

$\left(a-x\right)^4$

 

Expand the binomial $\left(a-x\right)^4$

$a^4+4\cdot -1a^3x+6a^2\left(-x\right)^2+4a\left(-x\right)^3+\left(-x\right)^4$

 

Multiply $4$ times $-1$

$a^4-4a^3x+6a^2\left(-x\right)^2+4a\left(-x\right)^3+\left(-x\right)^4$

 

Simplify $\left(-x\right)^2$

$a^4-4a^3x+6a^2x^2+4a\left(-x\right)^3+\left(-x\right)^4$

 

Simplify $\left(-x\right)^4$

$a^4-4a^3x+6a^2x^2+4a\left(-x\right)^3+x^4$

 

Simplify $\left(-x\right)^3$ by taking the minus sign ($-$) out of the power

$a^4-4a^3x+6a^2x^2-4ax^3+x^4$

$a^4-4a^3x+6a^2x^2-4ax^3+x^4$

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