Simplify the equation $m=\left(x+4\right)\left(x-4\right)+\left(x+5\right)\left(x-5\right)-2\left(x+2\right)\left(x-3\right)$

Step-by-step Solution

Go!
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
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

Final answer to the problem

$m=-29+2x$
Got another answer? Verify it here!

Step-by-step Solution

How should I solve this problem?

  • Choose an option
  • Solve for m
  • Solve for x
  • Simplify
  • Factor
  • Factor by completing the square
  • Find the integral
  • Find the derivative
  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
  • Load more...
Can't find a method? Tell us so we can add it.
1

The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: $(a+b)(a-b)=a^2-b^2$.

$m=x^2-16+\left(x+5\right)\left(x-5\right)-2\left(x+2\right)\left(x-3\right)$

Learn how to solve two-variable linear equations problems step by step online.

$m=x^2-16+\left(x+5\right)\left(x-5\right)-2\left(x+2\right)\left(x-3\right)$

With a free account, access a part of this solution

Unlock the first 3 steps of this solution

Learn how to solve two-variable linear equations problems step by step online. Simplify the equation m=(x+4)(x-4)+(x+5)(x-5)-2(x+2)(x-3). The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: (a+b)(a-b)=a^2-b^2.. The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: (a+b)(a-b)=a^2-b^2.. Subtract the values -16 and -25. Combining like terms x^2 and x^2.

Final answer to the problem

$m=-29+2x$

Explore different ways to solve this problem

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

Help us improve with your feedback!

Function Plot

Plotting: $m-\left(x+4\right)\left(x-4\right)-\left(x+5\right)\left(x-5\right)+2\left(x+2\right)\left(x-3\right)$

SnapXam A2
Answer Assistant

beta
Got a different answer? Verify it!

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
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: Two-variable linear equations

Algebraic equations that have two distinct variables.

Your Personal Math Tutor. Powered by AI

Available 24/7, 365.

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

Includes multiple solving methods.

Download complete solutions and keep them forever.

Premium access on our iOS and Android apps.

Join 500k+ students in problem solving.

Choose your plan. Cancel Anytime.
Pay $39.97 USD securely with your payment method.
Please hold while your payment is being processed.

Create an Account