factoring!!

Question 1

(a+b)^2 =

Answer 1

a^2+2ab+b^2

Question 2

(a-b)^2=

Answer 2

a^2-2ab+b^2

Question 3

a^2-b^2=

Answer 3

(a-b)(a+b)

Question 4

a^2+b^2

Answer 4

(a+ib)(a-ib)

Question 5

a^3-b^3

Answer 5

(a-b)(a^2+ab+b^2)

Question 6

a^3+b^3

Answer 6

(a+b)(a^2-ab+b^2)

Question 7

(a+b+c)^2

Answer 7

a^2+b^2+c^2+2ab+2bc+2ac

• applies to > than 2 terms!!
• legit just keep combining (a^2+b^2+c^2+d^2+2ab+2bc+2ac+2ad+2db+2dc)

Question 8

sign rules for a^2 +/ 2ab +/- b^2

Answer 8

• first sign: if positive, positive sign is with the bigger factor
if negative, negative sign is with the smaller factor
• second sign: if positive, factors will have the same signs

Question 9

a(b+c)-d(b+c)=

Answer 9

(b+c)(a-d)