How do you simplify $x^-4 (x^2 + x - 3)$ ?

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Answer 1 · 2015-06-15T12:10:12

$= color(blue)(x^-2 + x^-3 - 3.x^-4$

$x^-4 (x^2 + x - 3)$

Here , we need to multiply $color(red)(x^-4$ with every term within the bracket.

$color(red)(x^-4) .x^2 +color(red)( x^-4).x^1 -color(red)( x^-4).3$

Note:
$color(blue)(a^m . a^n = a^(m+n)$
Applying the above mentioned property to the exponents of $x$

$= x^(-4+2) + x^(-4+1) - (x^-4).3$
$= x^-2 + x^-3 - (x^-4).3$
$= color(blue)(x^-2 + x^-3 - 3.(x^-4)$

How do you simplify x^-4 (x^2 + x - 3)x^-4 (x^2 + x - 3)?