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First we have to use the product rule, remember that if we have h(x)=f(x)g(x) then h'(x)=f'(x)g(x)+f(x)g'(x).So h'(x) = x^3D[(x+1)^5]+(x+1)^5D[x^3]Completing the unfinished derivatives,h'(x) = x^3[5(x+1)^...

Sorry but it's a little hard to write the question out! I have the working on paper but I can't upload it. Ok so first you need to multiply out the brackets to make it a little easeier to look at and obta...

Say you are given the equations of both a line and a curve, for example y=x²+8x-1 and y=3x-7, and asked to find where these two intersect. This just means w...

Label the equations (1): 2x + 3y = 4 (2): 3x + 6y = 3We need the same number of x's or y's in the equations, so multiply (1) by 3 and (2) by 2 giving (3): 6x + 9y = 12 (4): 6x + 12y = 6Subtract (3) from (...

We need two numbers, a and b, such that a*b = 2 and a+b=3Looking at the equation it can be seen that 2 and 1 fulfill these conditions.Therefore x² +3x +2=0        = (x+2)(x+1)=0This means we ne...