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Expand.Your answer should be a polynomial in standard form. =
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Q. Expand.Your answer should be a polynomial in standard form. =
- Step : Distributive Property: We will use the distributive property, also known as the FOIL method for binomials, to expand . The FOIL method stands for First, Outer, Inner, Last, referring to the terms in each binomial.First, we multiply the first terms in each binomial: .
- Step : First Term Multiplication: Next, we multiply the outer terms in the binomials: .
- Step : Outer Term Multiplication: Then, we multiply the inner terms in the binomials: .
- Step : Inner Term Multiplication: Finally, we multiply the last terms in each binomial: .
- Step : Last Term Multiplication: Now, we combine all the products: .
- Step : Combine Products: We notice that and are like terms and will cancel each other out: .
- Step : Cancel Like Terms: The final simplified form of the polynomial is , which is already in standard form.
