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Simplify64x2−498x−7−8x\frac{64x^2 - 49}{8x - 7} - 8x8x−764x2−49​−8x​
Question

Simplify64x2498x78x\frac{64x^2 - 49}{8x - 7} - 8x

A.

16x + 7

B.

-16x

C.

8x + 7

D.

7

Correct option is D

Given
Expression = 64x2498x78x\frac{64x^2 - 49}{8x - 7} - 8x​​

Formula Used
a2b2=(ab)(a+b)a^2 - b^2 = (a - b)(a + b)​​

Solution
Rewrite 64x24964x^2 - 49​ as  (8x)2(7)2(8x)^2 - (7)^2​​
Using the algebraic identity:
(8x7)(8x+7)8x78x\frac{(8x - 7)(8x + 7)}{8x - 7} - 8x​​
Cancel out the common term (8x - 7):
= (8x + 7) - 8x
= 7
Final Answer
So the correct answer is (d)

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