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Evaluate: (15² - 10²) ÷ 5
25
35
50
45
25
Use the difference of squares identity to factor the numerator, enabling immediate cancellation with the denominator.
Expression to evaluate: (15² - 10²) / 5
a2−b2=(a−b)(a+b)
Use the difference of squares identity to factor the numerator, enabling immediate cancellation with the denominator.
Calculating large squares individually before subtraction, which increases calculation time and risk of errors.
Identify the given expression
We are given the expression (152−102)÷5 to evaluate.
(152−102)÷5
Evaluate squares or apply identity
Find the squares of the numbers: 152=225 and 102=100, then subtract them.
225−100=125
Perform division
Divide the resulting difference by 5 to obtain the final result.
5125=25
A is correct because evaluating (152−102)÷5 yields 125÷5=25.
Mastering algebraic identities like difference of squares is essential for quick simplification in quantitative aptitude sections.
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