Question

find the LCM and hCF of 6x²+19x+15 and 4x²-9


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Answer 1

Step-by-step explanation:

6x² + 19x + 15 = 6x² + 9x + 10x + 15

= 3x(2x+3) + 5(2x+3)

6x²+19x+15 = (3x+5)*(2x+3)

4x² - 9 = (2x-3)*(2x+3)

Hcf = 2x+3

Lcm = a*b/Hcf

= (3x+5)*(2x+3)²*(2x-3)/(2x+3)

= (3x+5)*(4x²-9)

= 12x³ + 20x² - 27x - 45