1.FIND THE LCM OF

10X^7 AND 50X^4

2.FIND THE LCM OF
x^2 -36 AND x^2 + 11x +30

3.FIND THE LCM
y^3+8y^2+16y, y^2 -8y

4.FIND The LCM Of
15z^2 +60z and 3z^2 + 15z +12

2 answers

10x^7 = 10x^4 * x^3
50x^4 = 10x^4 * 5
LCM = 10x^4 * 5x^3 = 50x^7

x^2 - 36 = (x+6)(x-6)
x^2 + 11x + 30 = (x+6)(x+5)
LCM = (x+6)(x-6)(x+5)

y^3 + 8y^2 + 16y = y(y+4)(y+4)
y^2 - 8y = y(y-8)
LCM = y(y+4)(y+4)(y-8)

15z^2 + 60z = 15z(z+4) = 3(z+4)*5z
3z^2 + 15z + 12 = 3(z+4)(z+1)
LCM = 15z(z+4)(z+1)
Find each of the following for x^2+5x+6 and x^2+x-2.
a) the LCM
b) the GCF
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