Verified Answer :

Ckaranja

c(x)=4x-2       and d(x)=\(x^{2} +5x\)
(c*d)(x)
(4x-2)(\(x^{2} +5x)\)
Open the brackets and multiply the terms in the order shown below;
4x(\(x^{2} +5x)\)-2(\(x^{2} +5x)\)
=4\(x^{3} +20 x^{2} -2 x^{2} -10x\)
=4\(x^{3} +18 x^{2} -10x\)

The value of (cd)(x) is 4x³ + 18x² - 10x

How to find the value of (cd)(x)?

Given that,

  • c(x) = 4x – 2
  • d(x) = \(x^{2} +5x\)

∴ (cd)(x) = c(x)d(x) = (4x – 2)(\(x^{2} +5x\))

How to multiply two algebric expressions?

  • To multiply two algebric expressions, we can do it seperately term by term.
  • Then we should adjust the like terms.

∴ (4x – 2)(\(x^{2} +5x\))

= (4x)(\(x^{2} +5x\)) -2(\(x^{2} +5x\))

= 4x³ + 20x² - 2x² - 10x

= 4x³ + 18x² - 10x

∴ The value of (cd)(x) is 4x³ + 18x² - 10x

Learn more about algebric multiplications here: https://brainly.com/question/2241589

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