Question

expand the following:


$( \sqrt{3x } + 2) ^{2}$
​

Answer 1

This expansion requires the use of one of the basic identity in algebra via (a + b)² = a² + b² + 2ab

$\sf( \sqrt{3x } + 2) ^{2} = {( \sqrt{3}x })^{2} + {2}^{2} + 2 \times \sqrt{3}x \times 2$

$\sf= \pmb{3 {x}^{2} + 4 + 4 \sqrt{3}x}$

Answer 2

Answer:

This expansion requires the use of one of the basic identity in algebra via (a + b)² = a² + b² + 2ab

$\sf( \sqrt{3x } + 2) ^{2} = {( \sqrt{3}x })^{2} + {2}^{2} + 2 \times \sqrt{3}x \times 2$

$\sf= \pmb{3 {x}^{2} + 4 + 4 \sqrt{3}x}$