What is the standard form of $y= (-10x-1)^3+(-3x+1)^2$ ?

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Answer 1 · 2017-10-24T12:23:25

$y= -1000x^3-291x^2-36x$

Standard form cubic equation is $ax^3+bx^2+cx+d$

$y= (-10x-1)^3+(1-3x)^2$ or

$y= -(10x+1)^3+(1-3x)^2$

$y= -{(10x)^3+3(10x)^2*1+3*10x*1^2+1^3}+1-6x+9x^2$
$[(a+b)³=a³+3a²b+3ab²+b³]$

$y= -(1000x^3+300x^2+30x+1)+1-6x+9x^2)$

$y= -1000x^3-300x^2-30x-cancel1+cancel1-6x+9x^2$

$y= -1000x^3-291x^2-36x$ [Ans]

What is the standard form of y= (-10x-1)^3+(-3x+1)^2 y= (-10x-1)^3+(-3x+1)^2?