How do you expand and simplify $(y+4)(y-3)+(y-2)(y-3)$ ?

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Answer 1 · 2016-12-11T11:24:58

2(y+1)(y-3)

(y+4)(y-3)+(y-2)(y-3)
$y^2+y-12+y^2-5y+6$
$2y^2-4y-6$
$2(y+1)(y-3)$

Answer 2 · 2016-12-11T11:29:40

$2y^2-4y-6$ or $y^2-2y-3$

FOIL: First-Outside-Inside-Last

combine these $\rArr(y^2+y-12)+(y^2-5y+6)$
simplify $2y^2-4y-6$
or $y^2-2y-3$ if you want to factor out a 2

How do you expand and simplify (y+4)(y-3)+(y-2)(y-3)(y+4)(y-3)+(y-2)(y-3)?