Question

(m3 – 3n)(m2 + 2n) – 4m3(m2 + 7n).​

Answer 1

(m³-3n)(m²+2n)-4m³(m²+7n) = m⁵+2m³n-3m²n-6n²-4m⁵-28m³n = -3m⁵-26m³n-3m²n-6n² =-3*(m⁵+13m³n+m²n+2n²)

Answer 2

It looks like you've provided a mathematical expression:

(m3 – 3n)(m2 + 2n) – 4m3(m2 + 7n)

To simplify this expression, you can apply the distributive property (also known as the FOIL method) to expand the products within the parentheses and then combine like terms. Let's break it down step by step:

1. Expand the first product: (m3 - 3n)(m2 + 2n) Using the FOIL method: m3 * m2 + m3 * 2n - 3n * m2 - 3n * 2n Simplify: m5 + 2m3n - 3m2n - 6n2

2. Expand the second product: 4m3(m2 + 7n) 4m3 * m2 + 4m3 * 7n 4m5 + 28m3n

Now, we have: (m5 + 2m3n - 3m2n - 6n2) - (4m5 + 28m3n)

Distribute the negative sign: m5 + 2m3n - 3m2n - 6n2 - 4m5 - 28m3n

Combine like terms: -3m5 - 26m3n - 3m2n - 6n2

So, the simplified expression is: -3m5 - 26m3n - 3m2n - 6n2