Question

$\frac{75^3-25^3}{75^2+75\times25+25^2}$

• A. 200
• B. 100
• C. 75
• D. 50

Answer 1

Answer:

D. 50

$a^3-b^3=(a-b)(a^2+ab+b^2)$

$\frac{75^3-25^3}{75^2+75\times25+25^2}$

$=\frac{(75-25)(75^2+75\times25+25^2)}{75^2+75\times25+25^2}$

$=75-25$

$=50$