Respuesta :
Answer:
[tex]\large\boxed{5x\times(3x^2-5)=15x^3-25x}[/tex]
Step-by-step explanation:
[tex]5x\times(3x^2-5)\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\=(5x)(3x^2)+(5x)(-5)\\\\=15x^3-25x[/tex]
The resulting product of the functions using the distributive property is
15x³ - 25x.
Product is an operation carried out when two or more variables, numbers, or functions are multiplied together.
Given the expression 5x(3x² - 5)
Taking the product:
5x(3x² - 5)
Expand using the distributive property
= 5x(3x²) - 5x(5)
= (5×3)(x × x²) - 25x
= 15x³ - 25x
Hence the resulting function is 15x³ - 25x.
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