Question

(y-2z)(y^2-2yz-5z^2)

Answer 1

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Answer 2

To expand the expression $(y-2z)(y^2-2yz-5z^2)$, you can use the distributive property, also known as the FOIL method (First, Outer, Inner, Last). Here's how you can do it step by step:

First, multiply the terms in the first set of parentheses with the terms in the second set of parentheses:

1. First: Multiply the first terms in both sets of parentheses: $y \cdot y^2 = y^3$

2. Outer: Multiply the outer terms: $y \cdot (-2yz) = -2y^2z$

3. Inner: Multiply the inner terms: $-2z \cdot y^2 = -2yz^2$

4. Last: Multiply the last terms in both sets of parentheses: $-2z \cdot (-5z^2) = 10z^3$

Now, combine all these results:

$y^3 - 2y^2z - 2yz^2 + 10z^3$

So, the expanded expression is:

$y^3 - 2y^2z - 2yz^2 + 10z^3$