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Subtract:

[tex]\left(10f^2 - 12f + 7\right) - \left(-3f^2 - 5f + 11\right)[/tex]

A. [tex]13f^2 - 7f - 4[/tex]
B. [tex]7f^2 - 17f - 4[/tex]
C. [tex]13f^2 - 17f - 4[/tex]
D. [tex]7f^2 - 17f + 18[/tex]

Answer :

Sure, let's subtract the polynomials step-by-step:

We start with the given expression to subtract:
[tex]\[
(10 f^2 - 12 f + 7) - (-3 f^2 - 5 f + 11)
\][/tex]

Step 1: Distribute the negative sign to the terms inside the parentheses:
[tex]\[
10 f^2 - 12 f + 7 + 3 f^2 + 5 f - 11
\][/tex]

Step 2: Combine like terms:

- Combine the [tex]\( f^2 \)[/tex] terms:
[tex]\[
10 f^2 + 3 f^2 = 13 f^2
\][/tex]

- Combine the [tex]\( f \)[/tex] terms:
[tex]\[
-12 f + 5 f = -7 f
\][/tex]

- Combine the constant terms:
[tex]\[
7 - 11 = -4
\][/tex]

Step 3: Write down the resulting expression:
[tex]\[
13 f^2 - 7 f - 4
\][/tex]

Therefore, the answer to the subtraction problem is:
[tex]\[
13 f^2 - 7 f - 4
\][/tex]

So, the correct choice is:
[tex]\[
\boxed{13 f^2 - 7 f - 4}
\][/tex]

Thanks for taking the time to read Subtract tex left 10f 2 12f 7 right left 3f 2 5f 11 right tex A tex 13f 2 7f 4 tex B tex 7f. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

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