Use algebraic identity of a^2 - b^2 in any 5 examples .
Answers
Answer:
Identity I: (a + b)2 = a2 + 2ab + b2
Identity III: a2 – b2= (a + b)(a – b)
Identity IV: (x + a)(x + b) = x2 + (a + b) x + ab.
Identity V: (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca.
Identity VI: (a + b)3 = a3 + b3 + 3ab (a + b)
Step-by-step explanation:
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Answer:
The a2 - b2 formula is also known as "the difference of squares formula". The a square minus b square is used to find the difference between the two squares without actually calculating the squares.
It is one of the algebraic identities.
It is used to factorize the binomials of squares.
What is a^2-b^2 Formula?
The a2 - b2 formula is given as: a2 - b2 = (a - b) (a + b)
If you would like to verify this, you can just multiply (a - b) (a + b) and see whether you get a2 - b2.
Verification of a2 - b2 Formula
Let us see the proof of a square minus b square formula. To verify that a2 - b2 = (a - b) (a + b) we need to prove LHS = RHS. Let us try to solve the equation:
➣ a2 - b2 = (a - b) (a + b)
Multiply (a - b) and (a + b) we get
= a(a+b) -b(a + b)
= a2 + ab - ba - b2
= a2 + 0 + b2
= a2 - b2
Hence Verified
a2 - b2 = (a - b) (a + b)