Answer :
Answer:
9bc - 6b = 3b(3c - 2)
Step-by-step explanation:
[tex]9bc=(3b)(3c)\\\\6b=(3b)(2)\\\\\text{Distributive property:}\ a(b+c)=ab+ac\\\\9bc-6b=(3b)(3c)-(3b)(2)=(3b)(3c-2)[/tex]
It is written as 3b(3c -2)
A factored form of a given expression is a form which is written as product of simplest possible factors of that given expression.
Given that:
The expression to be expressed in factored form is 9bc -6b.
To factor the above equation, we take out common factors in both terms which is 3b:
[tex]9bc - 6b\\ = 3 \times b \times 3c - 3 \times \ b \times 2\\= 3b(3c - 2)[/tex]
Thus the factored form needed is: 3b(3c - 2)
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