factor out greatest common factor x(x+13)+14(x+13)
(x+13)(x+14)
To factor out the greatest common factor, first, we need to identify the common factor of the terms x(x + 13) and 14(x + 13).
The common factor between these two terms is (x + 13).
Now, we can factor out (x + 13) from each term:
x(x + 13) + 14(x + 13) = (x + 13)(x) + (x + 13)(14)
Next, we can simplify this expression by distributing (x + 13) into each term:
(x + 13)(x) + (x + 13)(14) = x^2 + 13x + 14x + 182
Combining like terms, we get:
x^2 + 27x + 182
Therefore, the factored expression is x^2 + 27x + 182.
To factor out the greatest common factor from the expression, x(x + 13) + 14(x + 13), follow these steps:
Step 1: Notice that both terms in the expression have a common factor, which is (x + 13).
Step 2: Rewrite the expression by factoring out the common factor from both terms:
(x + 13) * (x) + (x + 13) * (14)
Step 3: Now, factor out the common factor (x + 13) from both terms:
(x + 13) * (x + 14)
So, the factored form of the given expression is (x + 13) * (x + 14).