Question
Solve:
$a^2+ 2a - 3$
$a^2+ 2a - 3$
✓
Answer
$a^2+ 2a - 3$
$=\text{a}^2+2\text{a}+\Big(\frac{2}{2}\Big)^2-\Big(\frac{2}{2}\Big)^2-3$ $\Big[$Adding and subtracting $\Big(\frac{2}{2}\Big)^2,$ that is $ 1^2\Big]$
$= a2 + 2a + 1 - 1 - 3$
$= (a + 1)2 - 4 [$Comleting the square$]$
$= (a + 1)2 - 22$
$= [(a + 1) - 2][(a + 1) + 2]$
$= (a + 1 - 2)(a + 1 + 2)$
$= (a - 1)(a + 3)$
$=\text{a}^2+2\text{a}+\Big(\frac{2}{2}\Big)^2-\Big(\frac{2}{2}\Big)^2-3$ $\Big[$Adding and subtracting $\Big(\frac{2}{2}\Big)^2,$ that is $ 1^2\Big]$
$= a2 + 2a + 1 - 1 - 3$
$= (a + 1)2 - 4 [$Comleting the square$]$
$= (a + 1)2 - 22$
$= [(a + 1) - 2][(a + 1) + 2]$
$= (a + 1 - 2)(a + 1 + 2)$
$= (a - 1)(a + 3)$
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