Question

Solve: (5m² - 2mn + 3n²) x 12mn²
60m²n² - 24mn² + 36mn⁴
60m²n² - 24mn² - 36mn⁴
60m³n² + 24m²n³ + 36mn⁴
60m³n² – 24m²n³ + 36mn⁴

Answer 1

$\underline{\underline{\sf{\clubsuit \:\:Question}}}$

• Solve : (5m² - 2mn + 3n²) × 12mn²

$\underline{\underline{\sf{\clubsuit \:\:Options\:Given}}}$

• 60m²n² - 24mn² + 36mn⁴
• 60m²n² - 24mn² - 36mn⁴
• 60m³n² + 24m²n³ + 36mn⁴
• 60m³n² – 24m²n³ + 36mn⁴

$\underline{\underline{\sf{\clubsuit \:\:Answer}}}$

• 60m²n² - 24mn² + 36mn⁴

$\underline{\underline{\sf{\clubsuit \:\:Calculations}}}$

$\sf{\left(5m^2-2mn+3n^2\right)\cdot \:12mn^2}$

$\sf{=12mn^2\left(5m^2-2mn+3n^2\right)}$

Distribute parentheses

$\sf{=12mn^2\cdot \:5m^2+12mn^2\left(-2mn\right)+12mn^2\cdot \:3n^2}$

$\sf{=12\cdot \:5m^2mn^2-12\cdot \:2mmn^2n+12\cdot \:3mn^2n^2}$

$\boxed{\sf{=60m^3n^2-24m^2n^3+36mn^4}}$