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QUESTION IMAGE

the movement of the progress bar may be uneven because questions can be…

Question

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) de
subtract: $left(-2x^{4}-4y^{3}+4z^{3}+6
ight)-left(-9x^{4}-3y^{3}+4z^{3}+9
ight)$
$\bigcirc$ $-7x^{4}+y^{3}+3$
$\bigcirc$ $-11x^{4}-7y^{3}-3$
$\bigcirc$ $-11x^{4}-7y^{3}+8z^{3}+15$
$\bigcirc$ $7x^{4}-y^{3}-3$

Explanation:

Step1: Distribute the negative sign

$(-2x^4 - 4y^3 + 4z^3 + 6) + 9x^4 + 3y^3 - 4z^3 - 9$

Step2: Combine like $x^4$ terms

$-2x^4 + 9x^4 = 7x^4$

Step3: Combine like $y^3$ terms

$-4y^3 + 3y^3 = -y^3$

Step4: Combine like $z^3$ terms

$4z^3 - 4z^3 = 0$

Step5: Combine constant terms

$6 - 9 = -3$

Step6: Combine all simplified terms

$7x^4 - y^3 - 3$

Answer:

$7x^4 - y^3 - 3$ (the fourth option)