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The key to this is to not expand everything out and try work it out through that process. The easiest way is to notice that (x^2+5x+6) = (x+2), (2x^2+10x+12)=2(x+3)(x+2) and (x^2+x-2)= (x+2)(x-1).From thi...

2 * 2 * 2 * 5 * 7 = 280

Okay, so for two simultaneous equations which both equal the same variable (in this example the variable they're equal to is y), the trick is to make both equations equal each other:so we can say that 4x ...

As it is a quadratic, I can use the quadratic equation, or (-b +/- sqrt(b²-4ac))/2aHere our a = 1, b = -1 and c = -12. Substitute into the quadratic equation, this becomes (1 +/- sqrt(1 + (4*12...

There are many methods available to solve this - let's use the quadratic formula in this case.We know the formula is x = (-b +- sqrt(b^2-4ac))/2a.Here a=1,b=2,c=4,Hence, we know that x = (-2 +- sqrt(4 - -...