Question

Find the square root of (x2+4x+4)(x2+6x+9)

Answer 1

y = (x² + 4x + 4)(x² + 6x + 9)
= (x +2)² (x + 3)²
= {(x +2)(x +3)}²
= {x² + 5x + 6 }²
take square root both sides,
√y = {x² + 5x + 6}

hence , square of given expression is (x² + 5x + 6)