Step-by-step Solution

Solve the product $\left(2+\sqrt{y}\right)\left(2-\sqrt{y}\right)$

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Step-by-step explanation

Problem to solve:

$\left(2+\sqrt{y}\right)\left(2-\sqrt{y}\right)$

Learn how to solve special products problems step by step online.

$2^2-\left(\sqrt{y}\right)^2$

Unlock this full step-by-step solution!

Learn how to solve special products problems step by step online. Solve the product (2+y^0.5)(2-y^0.5). The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: (a+b)(a-b)=a^2-b^2, where:<ul><li>The first term (a) is 2.</li><li>The second term (b) is \sqrt{y}.</li></ul>Then:. Calculate the power 2^2. Cancel exponents \frac{1}{2} and 2.

Final Answer

$4-y$
$\left(2+\sqrt{y}\right)\left(2-\sqrt{y}\right)$

Main topic:

Special products

Time to solve it:

~ 0.04 s (SnapXam)