Simplify the given expression. (5x + 8y

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

Simplify the given expression.

(5x + 8y) (25x² + 64y² - 40xy)

Options:

125x³ - 512y³

25x³ + 64y³

125x³ + 512y³

25x³ - 64y³

Correct Answer:

125x³ + 512y³

Explanation:

(a³ + b³) = (a + b)(a² + b² - ab)

= (5x + 8y) (25x² + 64y² - 40xy)

= (5x + 8y)[(5x)² + (8x)² - 8 × 5 xy]

= (5x)³ + (8y)³

= 125x³ + 512y³