Factorize each of the following expressions : `4sqrt(3)x^2+5x-2sqrt(3)` `5sqrt(5)x^2+30 x+8sqrt(5)` `7sqrt(2)x^2-10 x-4sqrt(2)`

Explanation

The given expression is `4sqrt(3)x^2+5x-2sqrt(3)`
Here, `4sqrt(3)xx(-2sqrt(3))=-24`.
So, we split 5 into two parts whose sum is 5 and prouduct -24.
Clearly , `8+(-3)=5 and 8xx (-3)=-24`
`therefore 4sqrt(3)x^2+5x-2sqrt(3)=4sqrt(3)x^2+8x-3x-2sqrt(3)`.
`4x(sqrt(3)x+2)-sqrt(3)(sqrt(3)x+2)`
` =(sqrt(3)x+2)(4x-sqrt(3))`.
Hence, `(4sqrt(3)x^2+5x-2sqrt(3))=(sqrt(3)x+2)(4x-sqrt(3))`.