\(350^2-320^2=\)

[VJesus12]

\(350^2-320^2=\)

A) \(900\)

B) \(8100\)

C) \(21100\)

D) \(21000\)

E) \(20100\)

Answer: E

Source: Manhattan GMAT

[jhavyom]

\(350^2-320^2=\)

A) \(900\)

B) \(8100\)

C) \(21100\)

D) \(21000\)

E) \(20100\)

Answer: E

Source: Manhattan GMAT

350^2-320^2
= (350+320)(350-320)
= 670 * 30
= 20100

Option E is the answer.

[Scott@TargetTestPrep]

\(350^2-320^2=\)

A) \(900\)

B) \(8100\)

C) \(21100\)

D) \(21000\)

E) \(20100\)

Answer: E

Solution:


Note that 350^2 - 320^2 is a difference of squares, so it can be re-expressed as:


(350 - 320)(350 + 320)

30 x 670

20100

Answer: E