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How is the expansion of algebraic expressions done?
There are 3 main rules for expansion of algebraic expressions. They are as follows: 1) a2 _ b2 = (a-b) (a+b) 2) (a+b)2 = a2 + 2ab +b2 3) (a-b)2 = a2 - 2ab +b2
A plus b-c whole square?
(a+b-c)2 = a2 + b2 +c2 +2ab - 2bc - 2ac
What is the simplified expression for 2a2b a2 5ab 3ab2 b2 2a2b 2ab?
I'm going to assume a few things... 1.) the 2s after a letter are 2 2.) this is addition, because it's easier for me and if you wanted another operation, you should have stated so. 2a2b+a2+5ab+3ab2+b2+2a2b+2ab 4ab+a2+5ab+3b2a+b2+4ab+2ab 15ab+3b2a+a2+b2
What is a perfect trianomial?
perfect trinomial square?? it has the form: a2 + 2ab + b2
What is Special Case Product of Binomial?
Some special cases that are relevant in practice are: (a + b)2 = a2 + 2ab + b2 (a - b)2 = a2 - 2ab + b2 (x + a)(x + b) = x2 + (a+b)x + ab
Is a squared plus b squared the same as a plus b squared?
No. If you expand (a + b)2 you get a2 + 2ab + b2. This is not equal to a2 + b2
What is the factor of a2 plus b2 plus 2ab-c2?
(a+b+c) (a+b-c)
What is formula for a plus b whole square?
(A+B)2 = (A+B).(A+B) =A2+AB+BA+B2 =A2+2AB+ B2 So the Answer is A + B the whole square is equal to A square plus 2AB plus B square. Avinash.
Are there numbers with the property that the sum of their squares equals the square of their sum?
Yes, as long as either number is 0. a2 + b2 = (a+b)2 a2 + b2 = a2 + 2ab + b2 0 = 2ab
What does a squared plus b squared equal?
(a+b)(a+b)Also equal to a2+2ab+b2
If a2 plus b2 plus c2 - ab - bc - ca equals 0 then prove a equals b equals c?
a2 + b2 + c2 - ab - bc - ca = 0 => 2a2 + 2b2 + 2c2 - 2ab - 2bc - 2ca = 0 Rearranging, a2 - 2ab + b2 + b2 - 2bc + c2 + c2 - 2ca + a2 = 0 => (a2 - 2ab + b2) + (b2 - 2bc + c2) + (c2 - 2ca + a2) = 0 or (a - b)2 + (b - c)2 + (c - a)2 = 0 so a - b = 0, b - c = 0 and c - a = 0 (since each square is >=0) that is, a = b = c
The polynomial below is a perfect square trinomial of the form A2 - 2AB plus B2 9x2-18x plus 36?
TrUE
How is the expansion of algebraic expressions done?
There are 3 main rules for expansion of algebraic expressions. They are as follows: 1) a2 _ b2 = (a-b) (a+b) 2) (a+b)2 = a2 + 2ab +b2 3) (a-b)2 = a2 - 2ab +b2
A squared plus 2ab plus b squared?
= (a + b)2 or (a + b)(a + b) (a + b)(a + b) using the FOIL method yields: [multiplying {First Outer Inner Last} and summing the products] = a.a + a.b + b.a + b.b = a2 + ab + ab + b2 = a2 + 2ab + b2
The polynomial below is a perfect square trinomial of the form A2 - 2AB plus B2 4x2-16x plus 16?
True
A plus b-c whole square?
(a+b-c)2 = a2 + b2 +c2 +2ab - 2bc - 2ac
What is the simplified expression for 2a2b a2 5ab 3ab2 b2 2a2b 2ab?
I'm going to assume a few things... 1.) the 2s after a letter are 2 2.) this is addition, because it's easier for me and if you wanted another operation, you should have stated so. 2a2b+a2+5ab+3ab2+b2+2a2b+2ab 4ab+a2+5ab+3b2a+b2+4ab+2ab 15ab+3b2a+a2+b2
