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Examples

What to Do

How to Do It

1. Look again at the product of two binomials,
and see how we use the method called the double distributive property.

→ (A + B)(C + D)

= A(C + D) + B(C + D)

= AC + AD + BC + BD

2. Generally, product of two linear binomials
is multiplied by the method called F O Ι L.

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.

(ax + b)(cx + d)

→ Ax^{2} + Bx + C

Ax^{2} = ax·cx = acx^{2}

C = b·d = bd

acx^{2} + (ad +bc)x + bd
.

= Ax^{2} + Bx + C

3. For
general linear (first degree) binomials
with common terms:

The double distributive property is used
vertically - the outer and inner are placed
directly below and then added algebraically
along with the product of the firsts and lasts.