Expand.
Your answer should be a polynomial in standard form.
$$
(-f+10)(3 f-1)=
$$
$\square$

Question

Expand.
Your answer should be a polynomial in standard form.
$$
(-f+10)(3 f-1)=
$$
$\square$

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ To expand the expression $(-f+10)(3f-1)$, we will use the distributive property (also known as the FOIL method for binomials). ‖ ‖ step 2 ⋮ First, multiply the first terms in each binomial: $(-f) \cdot (3f) = -3f^2$. ‖ ‖ step 3 ⋮ Second, multiply the outer terms: $(-f) \cdot (-1) = f$. ‖ ‖ step 4 ⋮ Third, multiply the inner terms: $(10) \cdot (3f) = 30f$. ‖ ‖ step 5 ⋮ Fourth, multiply the last terms in each binomial: $(10) \cdot (-1) = -10$. ‖ ‖ step 6 ⋮ Combine the like terms $f$ and $30f$ to get $31f$. ‖ ‖ step 7 ⋮ The expanded form is $-3f^2 + 31f - 10$. ‖ ‖ step 8 ⋮ Write the polynomial in standard form: $-3f^2 + 31f - 10$. ‖ ∻Answer∻ ⚹ $-3f^2 + 31f - 10$ ⚹ ∻Key Concept∻ ⚹Expanding Binomials⚹ ∻Explanation∻ ⚹To expand a product of two binomials, we multiply each term in the first binomial by each term in the second binomial and combine like terms.⚹◊What is the expanded form of the expression $(-f+10)(3f-1)$?⍭ Generate me a similar question◊

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