Question

Factor completely: 294w^2 - 150

Answer 1

Answer:

$6\left(7w+5\right)\left(7w-5\right)$ is the required form.

Step-by-step explanation:

If we are asked to factor the expression given, we have to first find the common term, and then apply the middle term split method if required. There are cases, where the common terms are found by grouping the like terms.

Now the expression that is given here is:

$294w^2\:-\:150$

So here we will take 6 common and we will get:

$294w^2\:-\:150\\=6\left(49w^2-25\right)$

Now we will use the formula:

$x^2-y^2=\left(x+y\right)\left(x-y\right)$

and we get:

$6\left(49w^2-25\right)\\=6\left(7w+5\right)\left(7w-5\right)$

Hence, this is the required factor form of the given expression.