Question

Factorise this expression as fully as possible
2x2 + 6x

Answer 1

The factored expression is:
`2x(x + 3)`

Explanation:

We are given the following expression:

`2x^2 + 6x`

To factorize it as fully as possible, we first find the GCF between the numeric values, and the coefficients:

Numeric:

GCF between 2 and 6 is 2, because:

2 - 6| 2

1 - 3|

1 and 3 are not divisible by the same number, so 2.

Coefficient:

Between x² and x, x.

Factorizing:

Simplifying by 2x.

`2x((2x^2)/(2x)+(6x)/(2x)) = 2x(x + 3)`

The factored expression is:
`2x(x + 3)`