Final answer to the problem
$a\left(x\right)=x^2+2x-8$
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Apply the formula: $\left(x+a\right)\left(x+b\right)$$=x^2+\left(a+b\right)x+ab$, where $a=4$, $b=-2$, $x+b=x-2$ and $x+a=x+4$
$a\left(x\right)=x^2+\left(4-2\right)x+4\cdot -2$
Learn how to solve expressions algébriques problems step by step online.
$a\left(x\right)=x^2+\left(4-2\right)x+4\cdot -2$
Learn how to solve expressions algébriques problems step by step online. a(x)=(x+4)(x-2). Apply the formula: \left(x+a\right)\left(x+b\right)=x^2+\left(a+b\right)x+ab, where a=4, b=-2, x+b=x-2 and x+a=x+4. Apply the formula: a+b=a+b, where a=4, b=-2 and a+b=4-2. Apply the formula: ab=ab, where ab=4\cdot -2, a=4 and b=-2.
Final answer to the problem
$a\left(x\right)=x^2+2x-8$
