Q. Expand.Your answer should be a polynomial in standard form.(x+2)(x+3)=
Apply distributive property: Apply the distributive property (also known as the FOIL method) to expand the expression (x+2)(x+3).First, multiply the first terms in each binomial: x×x=x2.
Multiply first terms: Multiply the outer terms in the binomials: x×3=3x.
Multiply outer terms: Multiply the inner terms in the binomials: 2×x=2x.
Multiply inner terms: Multiply the last terms in each binomial: 2×3=6.
Multiply last terms: Combine the like terms from steps 2 and 3: 3x+2x=5x.
Combine like terms: Write the expanded form by combining the results from steps 1, 5, and 4: x2+5x+6.