Select the correct product.
(y + z)3
y3 + z3
y3 + 3y2z + 3yz2 + z3
3y + 3z
y3z3
1 answer:
(y + z)³ ( i believe you were trying to do the expression to the power of 3) (y + z)³ = (y + z)(y + z)(y + z) Use the FOIL method: (y + z)(y + z) = y² + yz + yz + z² Simplify y² + 2yz + z² plug in the answer gotten back into the expression (y² + 2yz + z²)(y + z) FOIL again, distribute each number to the other. y²(y) = y³ y(2yz) = 2y²z y(z²) = yz² y²(z) = y²z 2yz(z) = 2yz² z(z²) = z³ 2y²z + 2yz² + y³ + z³ + y²z + yz² Simplify: add all like variables 2y²z + y²z = 3y²z 2yz² + yz² = 3yz²3y²z + 3yz² + y³ + z³ is your answer, or <span>y^3 + 3y^2z + 3yz^2 + z^3 hope this helps</span>
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