Find the LCM and HCF.
(a) p3 + 8 and p2 - 4

In bold below.

Step-by-step explanation:

p^2 - 4 = (p - 2)(p + 2)

Note that 8 = 2^3 so

p^3 + 8 = ( p + 2)(p^2 + 4 - 2p)

So The HCF is p + 2.

The LCM =  (p + 2)(p - 2)(p^2 + 4 - 2p)

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

answer: i'm not going to give you the answer, but some hints to work it out.

step-by-step explanation: so, if there is a straight line that means that the line angle is 180°. so we subtract the 2 angle measures provided, (15 and 38) from 180. so the answer is 180 - (38 + 15). (you have to solve the equation)