Math Help, factorising quadratic equations?

If you multiply a(b+c) you get ab +ac ((this is called Distribution)) BUT, the opposite is also true! Ab +ac = a(b+c) ((this is called factoring)) with 10x^2 + 15x we see that x is in both, so x(10x +15) and we see a 5 in common, so 5x(2x +3) If you multiply 5x(2x +3) we get 10x^2 +15x so you see that it checks out ok. 10x^2 + 15x = 5x(2x +3) = 10x^2 + 15x.

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