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1. If the 2nd power of (a b) = 5 and ab = 1, then a-b = (1).
Because (a b) 2=a 2 b 2 2ab=5, so: (a-b) 2=a 2-2ab b b 2=(a b) 2-4ab=5-4x1=1
Therefore: a-b = 1.
2. If x-y=3 and xy=10, then x to the 2nd power and y to the 2nd power = 29.
Because x to the power of 2 y to the power of 2 = (x-y) 2 2xy = 9 20 = 29.
3. (x y) to the 2nd power = 3, (x-y) to the 2nd power = 5, then xy = (-1 2); x to the 2nd power y to the 2nd power = (4).
Because: (x y) to the 2nd power = x to the 2nd power y y 2xy = 3 ......(1);
x-y) to the 2nd power = x to the 2nd power y y to the 2nd power - 2xy = 5 ......(2);
1) Eq. - (2) Eq. : xy=-1 2;Eq. (1) (2) gives the 2nd power of x and the 2nd power of y = 4.
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A's 2nd recital (a-b) + B's Ye Fenghui 2nd power (base pin b-a) a 3-a 2b + b 3-ab 2
a^3+b^3-a^2b-ab^2
a+b)(a^2-ab+b^2)-ab(a+b)(a+b)(a^2-ab+b^2-ab)
a+b)(a-b)^2
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Original formula = (a 2 + b 2) (a 2 - b 2) = a 4 - b 4
Twice with the squared difference formula.
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Using the principle of method difference, (a+b)(a-b)=a2-b2
So (a 2 + b 2) (a 2-b 2) = a 4-b 4, which is to treat a 2 and b 2 as a whole.
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(a +b) (a+b)(a-b) = (a +b) (a -b) = the fourth power of a - the fourth power of b.
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(a-b) (b-a) to the power of 2 (-a+b) to the power of 4.
a-b) to the power of 3 (a-b) to the power of 4.
a-b).
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(a-b) (b-a) to the 2nd power (-a+b) to the 4th power = (a-b) (a-b) to the 2nd power (a-b) to the 4th power (a-b) = (a-b) to the (1+2+4) power.
a-b).
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4a quadratic + 4ab + b quadratic - 9a quadratic + 6ab-b quadratic + 5a quadratic - 5ab
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Hello (2nd power of a - 2nd power of b) (a-b) = a+b(2nd power of a - 2nd power of b) (a-b).
a+b)(a-b)÷(a-b)
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(a²-b²)÷a-b)
(a+b)(a-b)]÷a-b)
A+B is happy to answer your questions and wish you good luck! The Beauty of Mathematics team will answer your questions.
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Press the multiplication formula to open and you will know.
According to the multiplication formula, the 2nd power of (a+b) and the 2nd power of (a-b) are the symbols of the middle term 2ab of the difference.
So, 2 power of (a+b) = 2 power of (a-b) + (4ab), 2 power of (a-b) = 2nd power of (a+b) - (4ab).
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