If a + b = 6 and ab = 4, then what is th

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a + b = 6 and ab = 4, then what is the value of $ a^3 + b^3 $

Options:

125

120

144

Correct Answer:

144

Explanation:

If a + b = 6

ab = 4

Then what is the value of $ a^3 + b^3 $

(a + b)³ = a³ + b³ + 3ab(a+b)

(6)³ = a³ + b³ + 3(4)(6)

216 = a³ + b³ + 72

a³ + b³ = 216 - 72 = 144