What is expand 80(1-0.1(5)+h)^3 ?

The solution to expand 80(1-0.1(5)+h)^3 is 80h^3+120h^2+60h+10

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expand 80(1-0.1(5)+h)^3

expand

80 (1 - 0.1 (5) + h)^{3}

80 h^{3} + 120 h^{2} + 60 h + 10

Solution steps

80 (1 - 0.1 (5) + h)^{3}

Remove parentheses:

(a) = a

= 80 (1 - 0.1 \cdot 5 + h)^{3}

(1 - 0.1 \cdot 5 + h)^{3} = h^{3} + 1.5 h^{2} + 0.75 h + 0.125

= 80 (h^{3} + 1.5 h^{2} + 0.75 h + 0.125)

Distribute parentheses

= 80 h^{3} + 80 \cdot 1.5 h^{2} + 80 \cdot 0.75 h + 80 \cdot 0.125

Simplify

80 h^{3} + 80 \cdot 1.5 h^{2} + 80 \cdot 0.75 h + 80 \cdot 0.125 : 80 h^{3} + 120 h^{2} + 60 h + 10

= 80 h^{3} + 120 h^{2} + 60 h + 10

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What is expand 80(1-0.1(5)+h)^3 ?
The solution to expand 80(1-0.1(5)+h)^3 is 80h^3+120h^2+60h+10