proofs Flashcards
1
Q
Prove that -a(-b) = ab
A
-a(-b)
= -a(-b) + 0
= -a(-b) + a(0)
= -a(-b) + a(-b + b)
= -a(-b) + a(-b) + a(b)
= -b(-a + a) + a(b)
= -b(0) + a(b)
= 0 + a(b)
= ab
IU Math Prep > proofs > Flashcards
Prove that -a(-b) = ab
-a(-b)
= -a(-b) + 0
= -a(-b) + a(0)
= -a(-b) + a(-b + b)
= -a(-b) + a(-b) + a(b)
= -b(-a + a) + a(b)
= -b(0) + a(b)
= 0 + a(b)
= ab