Question
Find the following products:
$\big(\text{x}+\frac{1}{5}\big)\big(\text{x} + 5)$
$\big(\text{x}+\frac{1}{5}\big)\big(\text{x} + 5)$
✓
Answer
Here, we will use the identity $(x+a)(x+b)=x^2+(a+b) x+a b$.
$\big(\text{x}+\frac{1}{5}\big)\big(\text{x} + 5)$
$=\text{x}^2+\big(\frac{1}{5}+5)\text{x}+\frac{1}{5}×5$
$=\text{x}^2+\frac{26}{5}\text{x}+1$
$\big(\text{x}+\frac{1}{5}\big)\big(\text{x} + 5)$
$=\text{x}^2+\big(\frac{1}{5}+5)\text{x}+\frac{1}{5}×5$
$=\text{x}^2+\frac{26}{5}\text{x}+1$
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