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Subtract. Your answer should be a polynomial in standard form.

[tex]\[ \left(4a^3 - 3a - 8\right) - (a - 5) = \][/tex]

[tex]\[ \square \][/tex]

Sagot :

GinnyAnsweridn
To subtract the given polynomials, we need to follow these steps:

1. Write down the expressions clearly:
[tex]\[ 4a^3 - 3a - 8 \][/tex]
and
[tex]\[ a - 5 \][/tex]

2. Subtract the second polynomial from the first. When subtracting, distribute the negative sign through the second polynomial:
[tex]\[ (4a^3 - 3a - 8) - (a - 5) \][/tex]
[tex]\[ = 4a^3 - 3a - 8 - a + 5 \][/tex]

3. Combine like terms:
- The [tex]\(a^3\)[/tex] term remains [tex]\(4a^3\)[/tex] since there are no other [tex]\(a^3\)[/tex] terms to combine.
- Combine the [tex]\(a\)[/tex] terms: [tex]\(-3a - a = -4a\)[/tex].
- Combine the constant terms: [tex]\(-8 + 5 = -3\)[/tex].

4. Write the resulting polynomial in standard form:
[tex]\[ 4a^3 - 4a - 3 \][/tex]

Thus, the result of the subtraction in standard form is:
[tex]\[ 4a^3 - 4a - 3 \][/tex]
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