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QUESTION IMAGE

question multiply. \\(-5x(-2x^2 - 5)\\)

Question

question
multiply.
\\(-5x(-2x^2 - 5)\\)

Explanation:

Step1: Apply distributive property

Use the distributive property \(a(b + c)=ab+ac\), here \(a = - 5x\), \(b=-2x^{2}\), \(c = - 5\). So we have \(-5x\times(-2x^{2})+(-5x)\times(-5)\)

Step2: Multiply the coefficients and variables

For the first term: \(-5\times(-2)=10\), \(x\times x^{2}=x^{1 + 2}=x^{3}\), so the first term is \(10x^{3}\). For the second term: \(-5\times(-5) = 25\), and we have \(25x\). Combine them: \(10x^{3}+25x\)

Answer:

\(10x^{3}+25x\)