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Factor the expression $6x^2+6x-12$

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Final answer to the problem

$6\left(x+2\right)\left(x-1\right)$
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Step-by-step Solution

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Factor the trinomial $6x^2+6x-12$ of the form $ax^2+bx+c$, first, make the product of $6$ and $-12$

$\left(6\right)\left(-12\right)=-72$

Learn how to solve implicit differentiation problems step by step online.

$\left(6\right)\left(-12\right)=-72$

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Learn how to solve implicit differentiation problems step by step online. Factor the expression 6x^2+6x+-12. Factor the trinomial 6x^2+6x-12 of the form ax^2+bx+c, first, make the product of 6 and -12. Now, find two numbers that multiplied give us -72 and add up to 6. Rewrite the original expression. Factor 6x^2+12x-6x-12 by the greatest common divisor 6.

Final answer to the problem

$6\left(x+2\right)\left(x-1\right)$

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Function Plot

Plotting: $6\left(x+2\right)\left(x-1\right)$

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7
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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: Implicit Differentiation

Implicit differentiation makes use of the chain rule to differentiate implicitly defined functions. For differentiating an implicit function y(x), defined by an equation R(x, y) = 0, it is not generally possible to solve it explicitly for y(x) and then differentiate. Instead, one can differentiate R(x, y) with respect to x and y and then solve a linear equation in dy/dx for getting explicitly the derivative in terms of x and y.

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