Step-by-step Solution

Solve the product $\left(5x^2-3\right)\left(5x^2+3\right)$

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Step-by-step explanation

Problem to solve:

$\left(5x^2-3\right)\left(5x^2+3\right)$

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

$\left(5x^2\right)^2-1\cdot 3^2$

Unlock this full step-by-step solution!

Learn how to solve special products problems step by step online. Solve the product (5x^2-3)(5x^2+3). 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 5x^2.</li><li>The second term (b) is 3.</li></ul>Then:. Calculate the power 3^2. The power of a product is equal to the product of it's factors raised to the same power. Multiply -1 times 9.

Final Answer

$25x^{4}-9$
$\left(5x^2-3\right)\left(5x^2+3\right)$

Main topic:

Special products

Steps:

7

Time to solve it:

~ 0.04 s (SnapXam)