Answer:
\(35d+5d^2-30=5(d^2+7d-6)\)
Step-by-step 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:
\(35d+5d^2-30=5(d^2+7d-6)\)
