# How do you factorise this?

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#1
I understand how to do equations where the coefficient of x^2 is not 1, as well as normal quadratic equations. I do not know how to factorise equations where the number on the end is also squared. An explanation would be appreciated.
0
1 year ago
#2
Factor 2x2+13xy+15y2
2x2+13xy+15y2
=(2x+3y)(x+5y)
1
1 year ago
#3
The factorised identity would just be in the form (ax + by)(cx + dy), so I think you can just use the standard method
1
1 year ago
#4
The most important thing to note here is that it can still be viewed as a quadratic in , i.e. something like if you view as a constant.

So factorising as you usually do for single-variable quadratics, you would want something like where and multiply to give (with the cross term as well). As noted above, you will find that the natural choices and work. But the lesson to take away here is to always try to relate new problems to ones you already know how to solve.
Last edited by Legomenon; 1 year ago
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