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The simplified form is \(10x^{2}-15xy\).
Solución
Calculate or simplify the expression \( 5x(2x-3y) \).
Simplify the expression by following steps:
- step0: Solution:
\(5x\left(2x-3y\right)\)
- step1: Apply the distributive property:
\(5x\times 2x-5x\times 3y\)
- step2: Multiply the terms:
\(10x^{2}-15xy\)
The simplified form of the expression \(5x(2x-3y)\) is \(10x^{2}-15xy\).
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Simplifique esta solución Mind Expander
Did you know that the expression \( 5 x(2 x-3 y) \) can be expanded using the distributive property? By multiplying \( 5x \) with each term inside the parentheses, you’d get \( 10x^2 - 15xy \). This helps in simplifying or factoring polynomials later! Another exciting note is that this expression can be used in real-world scenarios like calculating the area of a rectangle where \( x \) and \( y \) represent dimensions. By applying algebraic expressions like this, you can efficiently model and solve problems involving areas, costs, or other practical applications in fields like engineering and economics!
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