Topics

More AI tools from SnapXam

Exercise

$\left(x^{2n}+5y^{3m}\right)^2$

Step-by-step Solution

1

Expand the expression $\left(x^{2n}+5y^{3m}\right)^2$ using the square of a binomial

$(a+b)^2=a^2+2ab+b^2$
Make diagrams like this with our diagram generator
2

Take the square of the first term: $x^{2n}$

$x^{4n}$
3

Twice ($2$) the product of the two terms: $x^{2n}$ and $5y^{3m}$

$10x^{2n}y^{3m}$
4

Take the square of the second term: $5y^{3m}$

$25y^{6m}$
5

Add the three results, and we obtain the expanded polynomial

$x^{4n}+10x^{2n}y^{3m}+25y^{6m}$

Final answer to the exercise

$x^{4n}+10x^{2n}y^{3m}+25y^{6m}$

Try other ways to solve this exercise

  • Choose an option
  • Product of Binomials with Common Term
  • FOIL Method
  • Find the integral
  • Find the derivative
  • Factor
  • Integrate by partial fractions
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
  • Load more...
Can't find a method? Tell us so we can add it.

Similar Questions Solved

$\left(x+2\right)\left(x+3\right)$

$\left(2+\sqrt{y}\right)\left(2-\sqrt{y}\right)$

$\left(6x-5\right)\left(2x+3\right)$

$4\left(4a+5\right)$

$\left(5x+2y\right)\left(5x-2y\right)$

$\left(2x+6\right)^2$

$\left(x-6\right)\left(x-5\right)$

Main Topic: Special Products

Special products is the multiplication of algebraic expressions that follow certain rules and patterns, so you can predict the result without necessarily doing the multiplication.

Related Topics

Symbolic mode
Text mode
Go!
1
2
3
4
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
D□x
∫
∫◻
|◻|
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

Empowering students and teachers through AI

By signing up, you agree to SnapXam's Terms and Privacy Policy.

Already have an account? Login here
Forgot your password?

Empowering students and teachers through AI



Register here if you don't have an account.
Forgot your password?

Your Personal Math Tutor. Powered by AI

Available 24/7, 365 days a year.

Complete step-by-step math solutions. No ads.

Choose between multiple solving methods.

Download unlimited solutions in PDF format.

Premium access on our iOS and Android apps.

Join 1M+ students worldwide in problem solving.

Choose the plan that suits you best:
Pay $39.97 USD securely with your payment method.
Please hold while your payment is being processed.
Create an Account