How do you combine like terms in $(7 x^{4} - 8 x^{3} + 5) + (6 x^{3} - 8 x^{2})$ $(7x ^ { 4} - 8x ^ { 3} + 5) + ( 6x ^ { 3} - 8x ^ { 2} )$ ?

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Answer 1 · 2017-03-11T10:45:14

$7 x^{4} - 2 x^{3} - 8 x^{2} + 5$ $7x^4-2x^3-8x^2+5$

$(7 x^{4} - 8 x^{3} + 5) + (6 x^{3} - 8 x^{2})$ $color(blue)((7x^4-8x^3+5)+(6x^3-8x^2)$

Remove the brackets

$\to 7 x^{4} - 8 x^{3} + 5 + 6 x^{3} - 8 x^{2}$ $rarr7x^4-8x^3+5+6x^3-8x^2$

Combine the like terms

$rarr7x^4-underbrace(8x^3)+5+underbrace(6x^3)-8x^2$

$rarr7x^4-2x^3+5-8x^2$

Write in standard form (decreasing powers)

Final solution

$color(green)(rArr7x^4-2x^3-8x^2+5$

Hope this helps! ☺

How do you combine like terms in (7x ^ { 4} - 8x ^ { 3} + 5) + ( 6x ^ { 3} - 8x ^ { 2} )(7x4−8x3+5)+(6x3−8x2)(7x ^ { 4} - 8x ^ { 3} + 5) + ( 6x ^ { 3} - 8x ^ { 2} )?