Problem 78
Question
Find the product. $$(x-5)(x-4)$$
Step-by-Step Solution
Verified Answer
The product of (x - 5)(x - 4) is \(x^2 - 9x + 20\).
1Step 1: Apply Distributive Property
Multiply the first term in the first binomial by both the terms in the second binomial. This gives \(x \times x = x^2\) and \(x \times -4 = -4x\).
2Step 2: Distribute the second term from the first binomial
Again apply the distributive property, but now for the '-5' in the first binomial. Multiply '-5' with both terms in second binomial. This result gives \(-5 \times x = -5x\) and \(-5 \times -4 = 20\).
3Step 3: Combine Like Terms
Next, combine like terms. This would be the terms \(-5x\) and \(-4x\). This simplification results in \(x^2 - 9x + 20\).
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