Question

Which of the following expressions shows the difference of two squares pattern? 

A. 8m^2 – 4

B. 9m^2 – 4

C. 16m – 4

D. 9m^3 – 4​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

Which of the following expressions shows the difference of two squares pattern? 

A. 8m² – 4

B. 9m² – 4

C. 16m – 4

D. 9m³ – 4

EVALUATION

CHECKING FOR OPTION A

8m² – 4

= 4 ( m² - 1 )

Which can not be expressed in the difference of two squares pattern

CHECKING FOR OPTION B

9m² – 4

$\sf{ = {(3m)}^{2} - {2}^{2} }$

$\sf{ = (3m + 2)(3m - 2)}$

Which can be expressed in the difference of two squares pattern

CHECKING FOR OPTION C

16m – 4

= 4( 4m - 1 )

Which can not be expressed in the difference of two squares pattern

CHECKING FOR OPTION D

9m³ – 4

Which can not be expressed in the difference of two squares pattern

FINAL ANSWER

Hence the correct option is B. 9m² – 4

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