Simplify (4w^3-2w^2)*(10w^4)

Problem

(4*w3−2*w2)⋅(10*w4)

Solution

1. Distribute the term 10*w4 to each term inside the parentheses.

10*w4⋅4*w3−10*w4⋅2*w2

2. Multiply the coefficients and apply the product rule for exponents, which states wa⋅wb=w(a+b)

40*w(3+4)−20*w(2+4)

3. Simplify the exponents to find the final expression.

40*w7−20*w6

Final Answer

(4*w3−2*w2)*(10*w4)=40*w7−20*w6

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