Q. Expand.Your answer should be a polynomial in standard form.(x+4)(x+6)=
Apply distributive property: Apply the distributive property (also known as the FOIL method) to expand the expression (x+4)(x+6).First, multiply the first terms in each binomial: x×x=x2.Next, multiply the outer terms: x×6=6x.Then, multiply the inner terms: 4×x=4x.Finally, multiply the last terms: 4×6=24.
Combine like terms: Combine like terms from the results of the FOIL method.We have x2 from the first terms, 6x and 4x from the outer and inner terms, and 24 from the last terms.Combine 6x and 4x to get 10x.So, the expression becomes x2+10x+24.
Write in standard form: Write the final answer in standard form, which is a polynomial arranged in descending order of degree.The expression x2+10x+24 is already in standard form.