What is the value of ((5.4)³ - 0.064)/((5.4)² + 2·16 + 0·16)?
Answer
The correct answer is D: 5. Using a³-b³ = (a-b)(a²+ab+b²) with a=5.4, b=0.4: numerator = (5.4-0.4)(5.4²+5.4×0.4+0.16) = 5×(denominator). So answer is 5.
A.4
B.5.4
C.4.4
D.5✓ Correct
Explanation
Using a³-b³ = (a-b)(a²+ab+b²) with a=5.4, b=0.4: numerator = (5.4-0.4)(5.4²+5.4×0.4+0.16) = 5×(denominator). So answer is 5.
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