Expand and simplify: (9z2 - 2z + 10)(3z + 12)?
I got 27x^3+102z^2+24z+120
correct me if i'm wrong pls? ty
z^3, not x^3
on the z term, I get -24z+30z=6z
your a disapointment
To expand and simplify the expression (9z^2 - 2z + 10)(3z + 12), we need to follow the distributive property. This property allows us to multiply each term in the first set of parentheses with every term in the second set of parentheses.
First, distribute the terms from the first set of parentheses (9z^2 - 2z + 10) to each term in the second set of parentheses:
9z^2 * 3z + 9z^2 * 12 - 2z * 3z - 2z * 12 + 10 * 3z + 10 * 12
Simplifying each term, we have:
27z^3 + 108z^2 - 6z^2 - 24z + 30z + 120
Combining like terms gives us the final simplified expression:
27z^3 + 102z^2 + 6z + 120
Therefore, the correct expansion and simplification of (9z^2 - 2z + 10)(3z + 12) is 27z^3 + 102z^2 + 6z + 120.
Your attempted answer of 27x^3 + 102z^2 + 24z + 120 is close, but you made a minor mistake by including an 'x' term rather than 'z' in one of the terms. Other than that, your answer is correct.