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find the difference. write your answer in standard form. $(9a^{2}+2a)-(…

Question

find the difference.
write your answer in standard form.
$(9a^{2}+2a)-(4a^{2}+3-a)$

Explanation:

Step1: Distribute the negative sign

$9a^2 + 2a - 4a^2 - 3 + a$

Step2: Combine like $a^2$ terms

$9a^2 - 4a^2 = 5a^2$

Step3: Combine like $a$ terms

$2a + a = 3a$

Step4: Combine constant terms

$-3$

Step5: Combine all simplified terms

$5a^2 + 3a - 3$

Answer:

$5a^2 + 3a - 3$