Question

expand this,
$(2x + 2)(2x + 3)$
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Answer 1

Answer:

$\bold \red{ \underline{correct \: question}}$

$(2x + 2)(2x + 3)$

$\bold{ \red{ \underline{we \: need \: to \: use \: the \: identity}}}$

$(x + a)(x + b) = {x}^{2} + x(a + b) + ab$

$\bold{ \red{ \underline{let \: us \: solve}}}$

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

$= > {4x}^{2} + 2x(5) + 6$

$= > 4 {x}^{2} + 10x + 6$

$\bold{ \red{ \underline{additional \: information}}}$

${(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2}$

${(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2}$

$(x + y) \times (x - y) = ( {x}^{2}) - ({y}^{2} )$

Answer 2

☞ Your Question.

$☞(2x + 2)(2x + 3)$

Identity Must be use

$☞ (x + a)(x + b) = {x}^{2} + x(a + b) + ab$

Solution

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

$☞ \: {4x}^{2} + 2x(5) + 6$

$☞ \: {4x}^{2} + 10x + 6$

Hope this will help you...