Question

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Answer 1

Question:

Multiply 3x²y and 2x²y³ - 5x²y + 9xy

Answer:

6x⁴y⁴ - 15x⁴y² + 27x³y²

Concept used:

In questions that involve the multiplication of algebraic terms, just multiply the first expression with all expressions in the second term.

Step-by-step explanation:

    (3x²y) × (2x²y³ - 5x²y + 9xy)

⇒ [(3x²y) (2x²y³)] + [(3x²y) (-5x²y)] + [(3x²y) (9xy)]

⇒ [6x⁴y⁴] + [-15x⁴y²] + [27x³y²]

⇒ 6x⁴y⁴ - 15x⁴y² + 27x³y²

∴ (3x²y)×(2x²y³-5x²y + 9xy) = 6x⁴y⁴ - 15x⁴y² + 27x³y²

Answer 2

Answer :

$3x {}^{2} y \times (2x {}^{2}y {}^{3} - 5x {}^{2} y + 9xy)$

$= 6x {}^{4} y {}^{4} - 15x {}^{4} y {}^{2} + 27x {}^{3} y {}^{2}$

The answer is :

$6x {}^{4} y {}^{4} - 15 {x}^{4} y {}^{2} + 27 {x}^{3} {y}^{2}$.