How do you simplify the product $(2x + 1)(4x + 3)$ and write it in standard form?

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Answer 1 · 2016-03-09T00:46:54

$(2x+1)(4x+3)=8x^2+10x+3$

We will use the distributive property $a(b+c) = ab + ac$ and the commutative property $ab = ba$

$(2x+1)(4x+3) = (2x+1)*4x+(2x+1)*3$

$=4x(2x+1)+3(2x+1)$

$=4x*2x+4x*1+3*2x+3*1$

$=8x^2+4x+6x+3$

$=8x^2+10x+3$

How do you simplify the product (2x + 1)(4x + 3)(2x + 1)(4x + 3) and write it in standard form?