# How would you work out 2x(1/2x + 1/4) to get the answer x^2 + x/2?

### Felicia Jones

I am an experienced tutor, having taught over 25 students, ranging from ages 11-18 in a number of subjects.

Let's rewrite it like this: 2x(x/2 + 1/4) Now let's expand the brackets: 2x * x/2 + 2x * 1/4 2x * x/2 simplifies to x^2 as the 2s at the top (numerator) and bottom (denominator) of the fraction cancel out. 2x * 1/4 can be rewritten 2x/4 and since both the numerator and denominator are multiples of 2, we can divide them both by 2. So we get x/2. So we get: x^2 + x/2

### VERIFIED

### Eman Khalil

A scientist with passion for spreading scientific knowledge! (+Arabic)

You can multiply 2x with everything inside the brackets to get: (2x x 1/2x) + (2x x 1/4) = (x^2) + (1/2x) = x^2 + x/2 Hope this helps.

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