Q. Expand.Your answer should be a polynomial in standard form.(7g+2)(5g+4)=
Apply distributive property: Apply the distributive property (also known as the FOIL method) to expand the expression (7g+2)(5g+4).First, multiply the first terms in each binomial: 7g×5g=35g2.
Multiply first terms: Multiply the outer terms in the binomials: 7g×4=28g.
Multiply outer terms: Multiply the inner terms in the binomials: 2×5g=10g.
Multiply inner terms: Multiply the last terms in each binomial: 2×4=8.
Multiply last terms: Combine the products from steps 1 to 4 to get the expanded form: 35g2+28g+10g+8.
Combine products: Combine like terms 28g and 10g to get the polynomial in standard form.35g2+28g+10g+8=35g2+(28g+10g)+8=35g2+38g+8.