Hello M7MBA.
To solve this PS question, it is easier using the following formula: $$a^2-b^2=\left(a+b\right)\left(a-b\right).$$ Now, since the numerator is $$49^2-35^2$$ then we can rewrite the given expression as follows: $$\frac{49^2-35^2}{14}=\frac{\left(49+35\right)\left(49-35\right)}{14}=\frac{84\cdot14}{14}=84.$$ Hence, the correct answer is the option E .
I hope it helps.
\[ \frac{49^2-35^2}{14}= \]
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Simplifying the expression we have:M7MBA wrote:$$\frac{49^2-35^2}{14}=$$ A. 74
B. 76
C. 78
D. 79
E. 84
(49 - 35)(49 + 35)/14
(14)(84)/14 = 84
Answer: E
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