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Chapter 0: Problem 20

Find each product. $$(x+8)(x+5)$$

Short Answer

Expert verified
The product of \((x+8)(x+5)\) is \(x^2 + 13x + 40\).

Step by step solution

01

First

Multiply the first terms in each bracket: \(x \times x = x^2\). The 'First' in the FOIL acronym means to multiply these terms together.
02

Outer

Multiply the outer terms in the expression: \(x \times 5 = 5x\). The 'Outer' in the FOIL acronym means to multiply these terms together.
03

Inner

Multiply the inner terms in the expression: \(8 \times x = 8x\). The 'Inner' in the FOIL acronym means to multiply these terms together.
04

Last

Multiply the last terms in each bracket: \(8 \times 5 = 40\). The 'Last' in the FOIL acronym means to multiply these terms together.
05

Sum up

Add up all the obtained results from the above steps: \(x^2 + 5x + 8x + 40\).
06

Combine like terms

The terms \(5x\) and \(8x\) are like terms and can be combined to give \(13x\). Final answer is \(x^2 + 13x + 40\).

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