Final answer to the problem
$\left(\sqrt{5}\sqrt{x}+2\sqrt{7}\sqrt{y}\right)\left(\sqrt{5}x+2\sqrt{7}y\right)^2$
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Step-by-step Solution
Learn how to solve problems step by step online. Simplify the algebraic expression ((5x)^(1/2)+2(7y)^(1/2))(5^(1/2)x+2*7^(1/2)y)(5^(1/2)x+2*7^(1/2)y). When multiplying two powers that have the same base (\sqrt{5}x+2\sqrt{7}y), you can add the exponents. The power of a product is equal to the product of it's factors raised to the same power.
Final answer to the problem
$\left(\sqrt{5}\sqrt{x}+2\sqrt{7}\sqrt{y}\right)\left(\sqrt{5}x+2\sqrt{7}y\right)^2$
