Question

given that x² + ax + b = (x+2)² - 3 work out the values of a and b

Answer 1

${x}^{2} + ax + b = (x + 2) {}^{2} - 3$

${x}^{2} + ax + b = {x}^{2} + 4 + 4x - 3$

${x}^{2} + ax + b = {x}^{2} + 4x + 1$

$compare \: both \: equations$

$a = 4 \: \: \: \: \: \: \: b = 1$