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Find the discriminant of the equation $\left(\left(x+y\right)\left(x-y\right)\right)^2$

Step-by-step Solution

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Final answer to the problem

$\left(x^2-y^2\right)^2$
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Step-by-step Solution

How should I solve this problem?

  • Find the discriminant
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Prove from LHS (left-hand side)
  • Load more...
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1

Multiply the single term $x-y$ by each term of the polynomial $\left(x+y\right)$

$\left(x\left(x-y\right)+y\left(x-y\right)\right)^2$

Learn how to solve discriminant of quadratic equation problems step by step online.

$\left(x\left(x-y\right)+y\left(x-y\right)\right)^2$

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Learn how to solve discriminant of quadratic equation problems step by step online. Find the discriminant of the equation ((x+y)(x-y))^2. Multiply the single term x-y by each term of the polynomial \left(x+y\right). Multiply the single term x by each term of the polynomial \left(x-y\right). When multiplying two powers that have the same base (x), you can add the exponents. Multiply the single term y by each term of the polynomial \left(x-y\right).

Final answer to the problem

$\left(x^2-y^2\right)^2$

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Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

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Function Plot

Plotting: $\left(x^2-y^2\right)^2$

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5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

Main Topic: Discriminant of Quadratic Equation

Quadratic equations are those algebraic equations of the form ax^2+bx+c, where a, b, and c are constant values. The discriminant of a quadratic equation is calculated using the formula D=b^2-4ac, and it helps us to determine how many roots an equation of this type has. When D>0 the equation has two real roots, when D<0 the equation has no real roots, and when D=0 the equation has a repeated real root.

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