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First put the equation into the correct form by setting it to 0:18x^2-3x-6=0Look for the common factor in the equation and take it out:3(6x^2-x-2)Using the grid method (which I would show on whiteboard) f...
Firstly, expand out the (2x+3y)^2 as (2x+3y)(2x+3y).Multiplying each term in the first bracket with each term from the second bracket gives 4x^2+6xy+6xy+9y^2 which simplifies to 4x^2+12xy+9y^2 by adding t...
There are more ways how to solve such equation:You can use the quadratic formula after rearranging the equation into the standard form. That is the safest way because you just learn the formula and use it...
There are 3 types of stationary points for functions: a maxima, a minima and a saddle point. They all occur when the derivative of a function, f(x), is equal to 0, e.g. f'(x)=0. Therefore in order to find...
Chain Rule: dy/dx = dy/du x du/dxy=e3-2xSubstitute u for the power (3-2x) y = eu u = 3-2xdy/du = eu du/dx = -2dy/dx = -2eu = -2e3-2x
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