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Factor 35d+5d^2 - 30

User Dulacp
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2 Answers

4 votes
First step; 35d+5d^2-30
Factor out common term 5
=5(d^2+7d-6)

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User Andrejs
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6.6k points
2 votes

Answer:


35d+5d^2-30=5(d^2+7d-6)

Explanation:

Factoring a expression--

It means that we have to represent our expression in product of it's factors.

We are given a quadratic expression in terms of variable d by:


35d+5d^2-30

Now, as all the three terms have a Greatest common divisor i.e. gcd as 5.

Hence, we take out common 5 from all the terms.

i.e. the expression could be represented by:


35d+5d^2-30=5(7d+d^2-6)

which could be represented by:


35d+5d^2-30=5(d^2+7d-6)

Now, no further factors could be found.

Hence, the answer is:


35d+5d^2-30=5(d^2+7d-6)

User Trep
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6.9k points