What is the value of (12!)^2 - (10!)^2(12! - 10!)^2?

What is the value of (12!)^2 - (10!)^2(12! -… | GMAT Sprint

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PS · Problem Solving

555-605

Algebra

What is the value of $\frac{(12!)^2 - (10!)^2}{(12! - 10!)^2}$ ?

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1/12

123/121

133/131

Correct

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Explanation

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To solve

\frac{(12!)^2 - (10!)^2}{(12! - 10!)^2}

, we can use the difference of squares formula. This gives us

=\frac{(12! - 10!)(12! + 10!)}{(12! - 10!)^2}=

…

Comments

AndrewOct 29, 2024

Thank for sharing!!!

AdityaMar 12, 2024

cheers!

What this question tests

Your ability to manipulate linear and quadratic expressions, substitute unknowns, and solve equations under time pressure.

Losing a sign when moving terms across the equals sign, or dividing both sides by a variable that could equal zero.