find the hcf and lcm of 4x² -16 and 3x²+5x-2
Answers
Answered by
10
Step-by-step explanation:
4x² - 16
= 4(x² - 4)
= 4[(x)² - (2)²]
= 4(x + 2)(x - 2)
3x² + 5x - 2
= 3x² + 6x - 1x - 2
= 3x(x + 2) - 1(x + 2)
= (3x - 1)(x + 2)
HCF. = (x + 2) [common in both the equations]
LCM = 4 × (x + 2) × (x - 2) × (3x - 1)
= (4x² - 16) × (3x - 1)
= 12x³ - 4x² - 48x + 16
Similar questions