a^2 + b^2 + 2ab = (a + b)^2
a square plus 2ab plus b square
(a - b)2 = a2 - 2ab + b2 square ft
b/2=2ab/+b means112.5
a2+b2+c2-2ab+2bc-2ca
5ab-2ab+4a-b+5b = 3ab+4a+4b
a square plus 2ab plus b 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.
The square of a sum, expressed as ((a + b)^2), expands to (a^2 + 2ab + b^2). In contrast, the square of a difference, represented as ((a - b)^2), expands to (a^2 - 2ab + b^2). The key difference lies in the sign of the middle term: the square of the sum includes a positive (2ab), while the square of the difference includes a negative (2ab). This distinction affects the overall value of the expressions when (a) and (b) are not equal.
Remember to factor out the GCF of the coefficients if there is one. A perfect square binomial will always follow the pattern a squared plus or minus 2ab plus b squared. If it's plus 2ab, that factors to (a + b)(a + b) If it's minus 2ab, that factors to (a - b)(a - b)
It is a trinomial.The square of (a + b)^2 is a^2 + 2ab + b^2.
(a-b)2 = a2 _ 2ab+b2
It is a trinomial.The square of (a + b)^2 is a^2 + 2ab + b^2.
(a - b)2 = a2 - 2ab + b2 square ft
False. A perfect square trinomial takes the form ( (a - b)^2 = a^2 - 2ab + b^2 ) or ( (a + b)^2 = a^2 + 2ab + b^2 ). The expression ( 16x^2 - 36x + 9 ) can be factored as ( (4x - 3)^2 ), which confirms it is a perfect square trinomial, but it does not fit the specified form ( a^2 - 2ab b^2 ).
consider: (A+B) x (A + B) = A(A+B) + B(A+B) = A^2 + AB + BA + B^2 = A^2 + 2AB + B^2 (A-B) x (A-B) = A(A-B) - B(A-B) =A^2-AB-BA+B^2 = A^2 - 2AB + B^2 The answers are similar however square of sum has positive component and square of difference has negative component.
2ab = 2*(-2)*7 = -28
(a+b+c)²=a²+b²+c²+ 2ab+2bc+2ac