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find the difference of the polynomials $2a^{2}+3a$ and $3a^{2}-4a$ by s…

Question

find the difference of the polynomials $2a^{2}+3a$ and $3a^{2}-4a$ by subtracting the second from the first. answer

Explanation:

Step1: Write subtraction expression

$(2a^2 + 3a) - (3a^2 - 4a)$

Step2: Distribute the negative sign

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

Step3: Combine like terms

$(2a^2 - 3a^2) + (3a + 4a)$

Step4: Simplify each term group

$-a^2 + 7a$

Answer:

$-a^2 + 7a$