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Expand the expression $5x^2+1\cdot -2xy+2y^2-\left(-x^2+xy+1\cdot -3y^2\right)-xy$

Step-by-step Solution

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Final answer to the problem

$6x^2-4xy+5y^2$
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Step-by-step Solution

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Multiply $1$ times $-2$

$5x^2-2xy+2y^2-\left(-x^2+xy+1\cdot -3y^2\right)-xy$

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$5x^2-2xy+2y^2-\left(-x^2+xy+1\cdot -3y^2\right)-xy$

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Learn how to solve factorization problems step by step online. Expand the expression 5x^2+1*-2xy2y^2-(-x^2+xy1*-3y^2)-xy. Multiply 1 times -2. Multiply 1 times -3. Combining like terms -2xy and -xy. Simplify the product -(-x^2+xy-3y^2).

Final answer to the problem

$6x^2-4xy+5y^2$

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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: $6x^2-4xy+5y^2$

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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: Factorization

In mathematics, factorization or factoring is the decomposition of an object (for example, a number, a polynomial, or a matrix) into a product of other objects, or factors, which when multiplied together give the original.

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