Q. Expand.Your answer should be a polynomial in standard form.(c+8)(8c+2)=
Apply Distributive Property: Apply the distributive property to expand the expression (c+8)(8c+2).Distribute each term in the first binomial, (c+8), to each term in the second binomial, (8c+2).(c+8)(8c+2)=c(8c)+c(2)+8(8c)+8(2)
Multiply the Terms: Multiply the terms.Multiply c by 8c to get 8c2.Multiply c by 2 to get 2c.Multiply 8 by 8c to get 64c.Multiply 8 by 2 to get 8c1.8c2
Combine Like Terms: Combine like terms.Combine the terms 2c and 64c to get 66c.(c+8)(8c+2)=8c2+66c+16
Write in Standard Form:Write the polynomial in standard form.The standard form for a polynomial is to write the terms in descending order of their exponents.The polynomial is already in standard form: 8c2+66c+16.