Simplify the given expression.

(5x + 8y) (25x2 + 64y2 - 40xy)

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SSC CGL 2022 Tier-I Official Paper (Held On : 07 Dec 2022 Shift 3)
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  1. 125x3 - 512y
  2. 25x3 + 64y3
  3. 125x3 + 512y3
  4. 25x- 64y3

Answer (Detailed Solution Below)

Option 3 : 125x3 + 512y3
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Detailed Solution

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Concept used:

(a³ + b³) = (a + b)(a² + b² - ab)

Calculations:

(5x + 8y) (25x2 + 64y2 - 40xy)

= (5x + 8y)[(5x)² + (8x)² - 8 × 5 xy]

= (5x)³ + (8y)³

= 125x³ + 512y³

Hence, The Required value is 125x³ + 512y³.

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