Q. Expand.Your answer should be a polynomial in standard form.(3k+4)(9k+5)=
Apply distributive property: Apply the distributive property (also known as the FOIL method for binomials) to expand the expression (3k+4)(9k+5).First, multiply the first terms in each binomial: 3k×9k=27k2.
Multiply first terms: Multiply the outer terms in the binomials: 3k×5=15k.
Multiply outer terms: Multiply the inner terms in the binomials: 4×9k=36k.
Multiply inner terms: Multiply the last terms in each binomial: 4×5=20.
Multiply last terms: Combine the like terms from the products obtained in steps 2 and 3.15k+36k=51k.
Combine like terms: Write the expanded form by combining all the products from steps 1, 2, 3, and 4. 27k2+51k+20.
Write expanded form: Ensure that the polynomial is in standard form, which means it should be written in descending order of the powers of k.The terms are already in descending order: 27k2 (second-degree term), 51k (first-degree term), and 20 (constant term).