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

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

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Answer 1 · 2017-03-29T15:14:52

$2 x^{2} + 2$ $2x^2+2$

Explanation:

The negative in front of the 2nd parentheses makes everything in it negative. Nothing in front of the parentheses means that you have a 1 in front of it. But since a 1 does nothing to the numbers as of now, you just take away the parentheses. So
$(3 x^{2} + 5 y^{2} - 2) - (x^{2} + 5 y^{2} - 4)$ $(3x^2+5y^2-2)-(x^2+5y^2-4)$
becomes
$3 x^{2} + 5 y^{2} - 2 - x^{2} - 5 y^{2} + 4$ $3x^2+5y^2-2-x^2-5y^2+4$

And then all the numbers with the same letter at the back are added or subtracted to each other depending on their signs.

Reorginized
$3 x^{2} - x^{2} + 5^{2} - 5 y^{2} - 2 + 4 = 2 x^{2} + 2$ $3x^2-x^2+5^2-5y^2-2+4=2x^2+2$

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

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Explanation:

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How do you combine like terms in (3x2+5y2−2)−(x2+5y2−4)(3x ^ { 2} + 5y ^ { 2} - 2) - ( x ^ { 2} + 5y ^ { 2} - 4) ?

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Explanation:

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