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scoray [572]
2 years ago
10

I need help with this

Mathematics
1 answer:
evablogger [386]2 years ago
8 0

If I understand the problem correctly

The blank on the left would be 14

and the blank on the top would be 350

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Simplify : (√x + √y ) (√x − √y) (x + y)(x2 + y2)
Ivan

Solution, \mathrm{Expand}\::\left(\sqrt{x}+\sqrt{y}\right)\left(\sqrt{x}-\sqrt{y}\right)\left(x+y\right)\left(x^2+y^2\right):\quad :x^4-:y^4

Steps:

\mathrm{Expand}\:\left(\sqrt{x}+\sqrt{y}\right)\left(\sqrt{x}-\sqrt{y}\right):\quad x-y, =\left(x-y\right)\left(x+y\right)\left(x^2+y^2\right)

\mathrm{Expand}\:\left(x-y\right)\left(x+y\right):\quad x^2-y^2, =:\left(x^2-y^2\right)\left(x^2+y^2\right)

\mathrm{Expand}\:\left(x^2-y^2\right)\left(x^2+y^2\right):\quad x^4-y^4, =:\left(x^4-y^4\right)

\mathrm{Expand}\::\left(x^4-y^4\right):\quad :x^4-:y^4, =:x^4-:y^4

The correct answer is <u><em>x^4-y^4</em></u>

Hope this helps!!!

4 0
3 years ago
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