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CCSS.MATH.CONTENT.HSA.SSE.A.2
High School Algebra - Common patterns of product/factors pairs. Critical!
19
Mathematics
9th Grade
10/26/2014
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Term
(a+b)(a-b)=?
 Definition
a²-b²=?
Term
(a+b)(a2-ab+b2)=?
 Definition

a3+b3=?

(This pattern only works with exponents of 3,5,7, ...)
Term
(a+b)(a4-a3b+a2b2-ab3+b4)=?
 Definition

a5+b5=?

(This pattern only works with exponents of 3,5,7, ...)
Term
(a+b)(a6-a5b+a4b2-a3b3+a2b4-ab5+b6)=?
 Definition

a7+b7=?

(This pattern only works with exponents of 3,5,7, ...)
Term
(a+b)(c+d)=?
 Definition
ac+ad+bc+bd=?
Term
(a+b)²=?
 Definition
a²+2ab+b²=?
Term
(a+b)³=?
 Definition
a³+3a²b+3ab²+b³=?
Term
(a+b+c)²=?
 Definition
a²+b²+c²+2ab+2ac+2bc=?
Term
(a-b)(a3+a2b+ab2+b3)=?
 Definition
a4-b4=?
Term
(a-b)(a4+a3b+a2b2+ab3+b4)=?
 Definition
a5-b5=?
Term
(a-b)(a5+a4b+a3b2+a2b3+ab4+b5)=?
 Definition
a6-b6=?
Term
(a-b)(a²+ab+b²)=?
 Definition
a³-b³=?
Term
(a-b)²=?
 Definition
a²-2ab+b²=?
Term
(a-b)³=?
 Definition
a³-3a²b+3ab²-b³=?
Term
(ax+b)(cx+d)=?
 Definition
acx²+(ad+bc)x+bd=?
Term
(x+a)(x+b)=?
 Definition
x²+(a+b)x+ab=?
Term
a(c+d)=?
 Definition
ac+ad=?
Term
a³+b³
 Definition
(a+b)(a²-ab+b²)
Term
a³-b³
 Definition
(a-b)(a²+ab+b²)
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