How do you add $(4 x^{7} + 8 x^{2} + 20 x) + (10 x^{6} + 4 x^{3} - 14 x^{2})$ $(4x^7+8x^2+20x) + (10x^6+4x^3-14x^2)$ ?

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Answer 1 · 2018-05-24T11:24:46

See a solution process below:

First, remove all of the terms from parenthesis. Be careful to handle the signs of each individual term correctly:

$4 x^{7} + 8 x^{2} + 20 x + 10 x^{6} + 4 x^{3} - 14 x^{2}$ $4x^7 + 8x^2 + 20x + 10x^6 + 4x^3 - 14x^2$

Next, group like terms:

$4 x^{7} + 10 x^{6} + 4 x^{3} + 8 x^{2} - 14 x^{2} + 20 x$ $4x^7 + 10x^6 + 4x^3 + 8x^2 - 14x^2 + 20x$

Now, combine like terms:

$4 x^{7} + 10 x^{6} + 4 x^{3} + (8 - 14) x^{2} + 20 x$ $4x^7 + 10x^6 + 4x^3 + (8 - 14)x^2 + 20x$

$4 x^{7} + 10 x^{6} + 4 x^{3} + (- 6) x^{2} + 20 x$ $4x^7 + 10x^6 + 4x^3 + (-6)x^2 + 20x$

$4 x^{7} + 10 x^{6} + 4 x^{3} - 6 x^{2} + 20 x$ $4x^7 + 10x^6 + 4x^3 - 6x^2 + 20x$

How do you add (4x^7+8x^2+20x) + (10x^6+4x^3-14x^2)(4x7+8x2+20x)+(10x6+4x3−14x2)(4x^7+8x^2+20x) + (10x^6+4x^3-14x^2)?