What is expand (2m+6)(2m-8)(4m^2+3m+1) ?

The solution to expand (2m+6)(2m-8)(4m^2+3m+1) is 16m^4-4m^3-200m^2-148m-48

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expand (2m+6)(2m-8)(4m^2+3m+1)

expand

(2 m + 6) (2 m - 8) (4 m^{2} + 3 m + 1)

16 m^{4} - 4 m^{3} - 200 m^{2} - 148 m - 48

Solution steps

(2 m + 6) (2 m - 8) (4 m^{2} + 3 m + 1)

Expand

(2 m + 6) (2 m - 8) (4 m^{2} + 3 m + 1) : (4 m^{2} - 4 m - 48) (4 m^{2} + 3 m + 1)

= (4 m^{2} - 4 m - 48) (4 m^{2} + 3 m + 1)

Distribute parentheses

= 4 m^{2} \cdot 4 m^{2} + 4 m^{2} \cdot 3 m + 4 m^{2} \cdot 1 - 4 m \cdot 4 m^{2} - 4 m \cdot 3 m - 4 m \cdot 1 - 48 \cdot 4 m^{2} - 48 \cdot 3 m - 48 \cdot 1

Simplify

4 m^{2} \cdot 4 m^{2} + 4 m^{2} \cdot 3 m + 4 m^{2} \cdot 1 - 4 m \cdot 4 m^{2} - 4 m \cdot 3 m - 4 m \cdot 1 - 48 \cdot 4 m^{2} - 48 \cdot 3 m - 48 \cdot 1 : 16 m^{4} - 4 m^{3} - 200 m^{2} - 148 m - 48

= 16 m^{4} - 4 m^{3} - 200 m^{2} - 148 m - 48

5 m - 9 n + 2 n

\frac{- 4 + 4}{2}

(6 \cdot 6^{- 6})^{5}

6^{3} \cdot 6^{5}

16 m^{2} - 9 n^{2}

What is expand (2m+6)(2m-8)(4m^2+3m+1) ?
The solution to expand (2m+6)(2m-8)(4m^2+3m+1) is 16m^4-4m^3-200m^2-148m-48