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= A(C + D) + B(C + D)
= AC + AD + BC + BD
to obtain a quadratic (2nd degree) trinomial:
F = the product of the first terms:
O = the product of the outer terms:
Ι = the product of the inner terms
L = the product of the last terms
Algebraically add the O + Ι = adx + bcx = Bx.
→ Ax2 + Bx + C
Ax2 = axÂ·cx = acx2
C = bÂ·d = bd
acx2 + (ad +bc)x + bd
= Ax2 + Bx + C
The double distributive property is used
vertically - the â€œouterâ€ and â€œinnerâ€ are placed
directly below and then added algebraically
along with the product of the â€œfirstsâ€ and â€œlastsâ€.
The algebraic sum is the Product: