How do you simplify $(- 5 x^{4} + X^{2}) - (x^{3} + 8 x^{2} - x)$ $(-5x^4 + X^2) - (x^3 + 8x^2 - x)$ ?

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Answer 1 · 2015-06-28T23:23:53

Distribute the $- 1$ $-1$ to the term in the second set of parentheses. Group like terms in descending order and add.

Distribute the $- 1$ $-1$ to the term in the second set of parentheses.

$(- 5 x^{4} + x^{2}) - (x^{3} + 8 x^{2} - x)$ $(-5x^4+x^2)-(x^3+8x^2-x)$ =

$- 5 x^{4} + x^{2} - x^{3} - 8 x^{2} + x$ $-5x^4+x^2-x^3-8x^2+x$

Group like terms in descending order and add.

$- 5 x^{4} - x^{3} + (x^{2} - 8 x^{2}) + x$ $-5x^4-x^3+(x^2-8x^2)+x$ =

$- 5 x^{4} - x^{3} - 7 x^{2} + x$ $-5x^4-x^3-7x^2+x$

How do you simplify (-5x^4 + X^2) - (x^3 + 8x^2 - x)(−5x4+X2)−(x3+8x2−x)(-5x^4 + X^2) - (x^3 + 8x^2 - x)?