Factorization a (x ^ 2 + 2XY + y ^ 2) - B (x ^ 2-y ^ 2) Such as the title

Factorization a (x ^ 2 + 2XY + y ^ 2) - B (x ^ 2-y ^ 2) Such as the title

a(x^2+2xy+y^2)-b(x^2-y^2)
=a(x+y)^2-b(x+y)(x-y)
=(x+y)(ax+ay-bx+by)

Factorization: x ^ 2 (a + b) ^ 2-2xy (a ^ 2-B ^ 2) + y ^ 2 (a-b) ^ 2

This is a complete square
x^2(a+b)^2-2xy(a^2-b^2)+y^2(a-b)^2=[(a+b)x]^2-2(a+b)(a-b)xy+[(a-b)y]^2
=[(a+b)x-(a-b)y]^2=(ax+bx-ay+by)^2
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Decomposition factor: x ^ 2-2xy + y ^ 2-9 =?

x^2-2xy+y^2-9
=(x-y)^2-9
=(x-y+3)(x-y-3)

Given that the distance from the point (x, y) to the origin is 2, find the maximum and minimum of x ^ 2 + XY-2 = 0

The locus of point (x, y) is x ^ 2 + y ^ 2 = 4. The quadratic equation of one variable is obtained by substituting into the elimination element, and the extremum is obtained

How many sentences are there in the formula of multiplication

1+2+3+4+5+6+7+8+9
=(1+9)×9÷2
=45 (sentence)
A: there are 45 sentences

The power series expansion of function f (x) = arctanx at x = 0 is?

The idea is to first seek the derivative, use the power series expansion of the derivative, and then integrate the expansion of the derivative
(arctanx)'=1/(1+x^2)=∑(-1)^n(x)^(2n)
And then integral the above equation
arctanx=(-1)^n[x+x^3/3+...+x^(2n+1)/(2n+1)+...]

What is 74 divided by 48.1?

74/48.1≈1.538

If f (x) = ax ^ 2 + (B + 1) x + B-2, (a is not equal to 0), and there is a real number x0 such that f (x0) = x0, then x0 is called a fixed point
When a = 2, f (x) has two different fixed points at (- 2,3). The value range of B is obtained

F (x) = 2x ^ 2 + (B + 1) x + B-2, that is to say, f (x) = x has two
2x^2+bx+b-2=0
(2x+1)(x+b-2)=0
x=-0.5
x=2-b
-2

The sum of two fifths and its reciprocal is () and the quotient of a (a ≠ 0) divided by its reciprocal is ()

The sum of two fifths and its reciprocal is (29 / 10). The quotient of a (a ≠ 0) divided by its reciprocal is (a ^ 2)

Elementary mathematics: we know that the square of the polynomial ax + 2bxy + x-x-2xy + y about X, y does not contain quadratic term. Find the value of 5a-8b
Explain the process. I need to understand it

∵ ax & # 178; + 2bxy + X & # 178; - x-2xy + y does not contain binomial
In (a + 1) x & # 178; + (2b-2) xy-x + Y:
A + 1 = 0, that is, a = - 1
2b-2 = 0, that is, B = 1
∴5a-8b=5×（-1）-8×1=-5-8=-13