Evaluate
w\left(19+3w-4w^{2}\right)
Expand
19w+3w^{2}-4w^{3}
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-35w^{2}+15w+2w\left(-2w^{2}+19w+2\right)
Use the distributive property to multiply 5w by -7w+3.
-35w^{2}+15w-4w^{3}+38w^{2}+4w
Use the distributive property to multiply 2w by -2w^{2}+19w+2.
3w^{2}+15w-4w^{3}+4w
Combine -35w^{2} and 38w^{2} to get 3w^{2}.
3w^{2}+19w-4w^{3}
Combine 15w and 4w to get 19w.
-35w^{2}+15w+2w\left(-2w^{2}+19w+2\right)
Use the distributive property to multiply 5w by -7w+3.
-35w^{2}+15w-4w^{3}+38w^{2}+4w
Use the distributive property to multiply 2w by -2w^{2}+19w+2.
3w^{2}+15w-4w^{3}+4w
Combine -35w^{2} and 38w^{2} to get 3w^{2}.
3w^{2}+19w-4w^{3}
Combine 15w and 4w to get 19w.
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