How do you factor $250 x^{4} + 128 x$ $250x^4 +128x$ ?

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Answer 1 · 2016-11-23T20:03:49

$250 x^{4} + 128 x$ $250x^4+128x$

$= 2 x (125 x^{3} + 64)$ $=2x(125x^3+64)$

Use the rule : $a^3 + b^3 = (a + b)(a^2 – ab + b^2)$
$=(2x)[(5x)^3+(4)^3]$

$=(2x)(5x+4)((5x)^2-(5x)(4)+4^2)$

$=(2x)(5x+4)(25x^2-20x+16)$

How do you factor 250x^4 +128x250x4+128x250x^4 +128x?