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How do you factor perfect square binomial?
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)
Asquare plus b square plus c square -ab -bc -ca equals 0 then show that a equals b equals c?
a^2 + b^2 + c^2 - ab - bc - ca = 0=> 2a^2 + 2b^2 + 2c^2 - 2ab - 2bc - 2ca = 0 => a^2 - 2ab + b^2 + b^2 - 2bc + c^2 + c^2 - 2ca + a^2 = 0 => (a - b)^2 + (b - c)^2 + (c - a)^2 = 0 Each term on the left hand side is a square and so it is non-negative. Since their sum is zero, each term must be zero. Therefore: a - b = 0 => a = b b - c = 0 => b = c.
How do you factor this equation 9x2 plus 4?
Two possibilities here. 9x - 30x +25 = -21x + 25 and done, but I don't think you mean that. 9x² - 30x + 25 is more likely. This is easier than normal, since this follows the square pattern. (ax-b)² = a²x²-2ab+b² a² = 9 so a=3 b² = 25 so b=5 3*5*2 = 30, so it checks. (3x-5)(3x-5) = 9x² -15x - 15x + 25 = 9x² -30x + 25 ■
What is the LCD of 2 3 4?
2ab
Is 25 the greatest square factor of 650?
Yes.
What is a square b square 2ab?
a^2 + b^2 + 2ab = (a + b)^2
A plus b the whole square?
a square plus 2ab plus b square
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.
How will you differentiate the square of sum from the square of a difference?
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.
How do you factor perfect square binomial?
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)
What is A(2)?
It is a trinomial.The square of (a + b)^2 is a^2 + 2ab + b^2.
What is formula for a minus b whole square?
(a-b)2 = a2 _ 2ab+b2
What is squre of binomial?
It is a trinomial.The square of (a + b)^2 is a^2 + 2ab + b^2.
What is the area of the square if one side is a-b ft?
(a - b)2 = a2 - 2ab + b2 square ft
Is a perfect square trinomial of the form a2-2ab b2 16x2-36x 9 true or false?
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 ).
X2 -5kx plus 25 the square of binomial. what is a possible value of k?
k can be 2 or -2. A binomial squared is: (a + b)² = a² + 2ab + b² Given x² - 5kx + 25 = (a + b)² = a² + 2ab + b² we find: a² = x² → a = ±x 2ab = -5kx b² = 25 → b = ±5 If we let a = x, then: 2ab = 2xb = -5kx → 2 × ±5 = -5k → k = ±2 If k = 2 then the binomial is (x - 5)² If k = -2 then the binomial is (x + 5)² To be complete if a = -x, then: If k = 2 then the binomial is (-x + 5)² If k = -2 then the binomial is (-x - 5)² which are the negatives of the binomials being squared.
How will you differentiate the square of a sum from the square of a difference?
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.
