How do you expand the binomial $(2x+4)^3$ ?

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Answer 1 · 2018-04-06T09:04:48

$8x^3+48x^2+96x+64$

using Pascal's triangle we have the coefficients for the terms as

$(a+b)^3rarr color(red)(1,3,3,1)$

we have then

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

$=8x^3+48x^2+96x+64$

How do you expand the binomial (2x+4)^3(2x+4)^3?