How do you find the product -2d(d^{3}c^{2}-4dc^{2}+2d^{2}c)+c^{2}(dc^{2}-3d^{4})?

ostowatygjt

ostowatygjt

Answered question

2022-02-04

How do you find the product 2d(d3c24dc2+2d2c)+c2(dc23d4)?

Answer & Explanation

czapkowyrqo

czapkowyrqo

Beginner2022-02-05Added 7 answers

First, expand both terms in parenthesis by multiplying each term within the parenthesis by the term outside the parenthesis:
2d(d3c24dc2+2d2c)+c2(dc23d4)
(2dd3c2)(2d4dc2)+(2d2d2c)+(c2dc2)(c23d4)
2d4c2(8d2c2)+(4d3c)+dc43d4c2
2d4c2+8d2c24d3c+dc43d4c2
Now, group and combine like terms:
2d4c23d4c2+8d2c24d3c+dc4
(23)d4c2+8d2c24d3c+dc4
5d4c2+8d2c24d3c+dc4
5d4c24d3c+8d2c2+dc4

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