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With algebra there are 2 rules to abide to which will always see you through!

1. Always do the same to both sides.
2. Always do the opposite.

In order to come to the correct ...

12p^7 multiply the 3 by the 4. Laws of Indices states when multiplying indices the answer is the addition of the indices. therefore - p^3 x p^4 = p^7

Firstly you would start by differentiating the function and equating it to zero as the gradient of the function at the maximum point is zero. to differentiate this function you would use the chain rule si...

Start by differentiating the function to find points where the gradient is 0. so dy/dx = 15x^2 + 18x + 3 We can use the equation for finding the roots of a quadratic here, set a=15, b=18 and c=3 and proc...