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

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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

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Explanation

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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

BhavyaJun 21

I eliminated B and D right away since the constant should be negative after subtracting a bigger number, is that the right logic?

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.