Calculate the result of the expression (7y^2… | GMAT Sprint

Free Practice Question

PS · Problem Solving

sub-505

Arithmetic

Calculate the result of the expression $(7y^2 + 9y + 3) − (2y^2 + 4y + 5)$ .

Which of the following expressions represents the result of this subtraction?

Correct answer marked below

5y^2 + 5y − 2

Correct

5y^2 + 5y + 8

5y^2 + 3y − 2

5y^2 + 3y + 8

9y^2 + 5y − 2

You can see the correct answer above. Sign in for free to unlock the complete worked solution.

Get detailed analytics, unlock full explanations, and move up difficulty tiers as you practice.

Explanation

Preview

Official Explanation

Official

To simplify the expression

(7y^2 + 9y + 3) − (2y^2 + 4y + 5)

, we first distribute the negative sign across the second expression:

(7y^2 + 9y + 3) − 2y^2 − 4y − 5

. Now, combine like terms:

(7y^2 − 2y^2) + (9y − 4y) + (3 − 5) = 5y^2 + 5y − 2

.…

Comments

NataliaJan 19, 2025

Great!

MaryamNov 30, 2024

thanks for posting

TumulNov 4, 2024

good question

What this question tests

Your fluency with the order of operations, fractions, decimals, and basic number sense — the foundation every quant question leans on.

Applying the order of operations out of sequence or rounding intermediate values before the final step.