Question

d) i) Find the HCF and LCM of (12x4+324x) and (36x3+90x2-54x).
​

Answer 1

Answer:

first expression = 12x^4+324x

=12x(x^3+27)

=12x(x^3+3^3)

=12x(x+3)(x^2-3x+9)

second expression = 36x^3+90x^2-54x

=18x(2x^2+5x-3)

=18x(2x^2+6x-x-3)

=18x(x+3)(2x-1)

HCF = 6x(x+3)

LCM = 36x(x+3)(2x-1)(x^2-3x+9)

Answer 2

Answer:

6

Step-by-step explanation:

12×4=48+324=372

36×3=108+90×2=180

108+180=288-54=234

After that,we do h.c.f

372÷234=138,234÷138=96,138÷96=42,96÷42=12,12÷6=2.