How do you simplify (5sqrtx+2)(2sqrtx-1)?

Aug 13, 2016

$\left(5 \sqrt{x} + 2\right) \left(2 \sqrt{x} - 1\right) = 10 x - \sqrt{x} - 2$

Explanation:

$\left(5 \sqrt{x} + 2\right) \left(2 \sqrt{x} - 1\right)$

= 5sqrtx×(2sqrtx-1)+2×(2sqrtx-1)

Now as sqrtx×sqrtx=x above can be multiplied and expanded to appear as

$10 x - 5 \sqrt{x} + 4 \sqrt{x} - 2$

= $10 x - \sqrt{x} - 2$