Question

factorize (√3x+2)(4x-√3)​

Answer 1

Step by step explanation :

$( \sqrt{3} x + 2) \times (4x - \sqrt{3} )$

Multiply each term in the first parenthesis by each term in the second parenthesis (FOIL)

$= > \sqrt{3} x \times 4x - \sqrt{3} \times \sqrt{3} + 2 \times 4x - 2 \sqrt{3}$

Calculate the product.

$= > 4 \sqrt{3} x {}^{2} - 3x + 8x - 2 \sqrt{3}$

Collect the like terms by calculating the sum or difference of their coefficients.

$= > 4 \sqrt{3} x {}^{2} ( - 3 + 8)x - 2 \sqrt{3}$

Calculate the sum.

$= > 4 \sqrt{3} x {}^{2} + 5x - 2 \sqrt{3}$