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

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Solution

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Final answer to the problem

$m=-29+2x$
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Step-by-step Solution

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  • Solve for m
  • Solve for x
  • Simplify
  • Factor
  • Factor by completing the square
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  • Find the derivative
  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
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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: $(a+b)(a-b)=a^2-b^2$.

Learn how to solve factor by difference of squares problems step by step online.

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

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Learn how to solve factor by difference of squares 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

$m=-29+2x$

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Function Plot

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

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a
b
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d
f
g
m
n
u
v
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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

How to improve your answer:

Similar Problems Solved

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Main Topic: Factor by Difference of Squares

The difference of two squares is a squared number subtracted from another squared number. Every difference of squares may be factored according to the identity a^2-b^2=(a+b)(a-b) in elementary algebra.

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