2-answer.jpeg "(-2x+5y-3z)2 Answer")
Expanding the Expression: (-2x+5y-3z)2
In algebra, expanding an expression means simplifying it by multiplying the terms inside the parentheses. In this case, we have the expression (-2x+5y-3z)2, which we will expand using the distributive property of multiplication over addition.
Applying the Distributive Property
To expand the expression, we need to multiply the terms inside the parentheses by themselves. This means we will have three terms multiplied by themselves, and then we will combine like terms.
First Term: (-2x)2
(-2x)2 = (-2x) × (-2x) = 4x2
Second Term: (5y)2
(5y)2 = (5y) × (5y) = 25y2
Third Term: (-3z)2
(-3z)2 = (-3z) × (-3z) = 9z2
Combining Like Terms
Now that we have expanded each term, we need to combine like terms.
(-2x+5y-3z)2 = 4x2 + 25y2 + 9z2 - 20xy + 30xz - 15yz
Simplified Expression
The simplified expression for (-2x+5y-3z)2 is:
4x2 + 25y2 + 9z2 - 20xy + 30xz - 15yz
This is the final answer.
