How much greater is $(- 10 x^{6} + 18 x^{3} + 13) + (7 x^{6} - 7 x^{2} + 17)$ $(-10x^6 + 18x^3 + 13) + (7x^6 - 7x^2 + 17)$ ?

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How much greater is $(- 10 x^{6} + 18 x^{3} + 13) + (7 x^{6} - 7 x^{2} + 17)$ $(-10x^6 + 18x^3 + 13) + (7x^6 - 7x^2 + 17)$ ?

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Answer 1 · 2015-06-19T04:37:21

answer 1 $= - 17 x^{6} + 18 x^{3} + 7 x^{2} - 4$ $= color(red)(-17x^6 + 18x^3 + 7x^2 -4$
answer 2 $= - 3 x^{6} + 18 x^{3} - 7 x^{2} + 30$ $= color(red)(-3x^6 +18x^3 - 7x^2+30$

Explanation:

There are two interpretations for the above question:

How much greater is $(- 10 x^{6} + 18 x^{3} + 13)$ $(-10x^6 + 18x^3 + 13)$ than $(7 x^{6} - 7 x^{2} + 17)$ $( 7x^6 - 7x^2 + 17)$

Here we need to subtract:
$- 10 x^{6} + 18 x^{3} + 13$ $-10x^6 + 18x^3 + 13$
$- 7 x^{6} + 7 x^{2} - 17$ $color(red)(-)7x^6 color(red)+ 7x^2 color(red)(-) 17$
$= - 17 x^{6} + 18 x^{3} + 7 x^{2} - 4$ $= color(red)(-17x^6 + 18x^3 + 7x^2 -4$

Grouping like terms and adding the two expressions :

$= (- 10 x^{6} + 7 x^{6}) + 18 x^{3} - 7 x^{2} + (13 + 17)$ $= color(red)((-10x^6+ 7x^6) ) +18x^3 - 7x^2+color(blue)((13 + 17))$
$= - 3 x^{6} + 18 x^{3} - 7 x^{2} + 30$ $= color(red)(-3x^6 ) +18x^3 - 7x^2+color(blue)(30)$

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How much greater is $(- 10 x^{6} + 18 x^{3} + 13) + (7 x^{6} - 7 x^{2} + 17)$ $(-10x^6 + 18x^3 + 13) + (7x^6 - 7x^2 + 17)$ ?

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Science

Math

Humanities

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How much greater is (−10x6+18x3+13)+(7x6−7x2+17)(-10x^6 + 18x^3 + 13) + (7x^6 - 7x^2 + 17)?

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Explanation:

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How much greater is $(- 10 x^{6} + 18 x^{3} + 13) + (7 x^{6} - 7 x^{2} + 17)$ $(-10x^6 + 18x^3 + 13) + (7x^6 - 7x^2 + 17)$ ?