Math virtual assistant

Calculators Topics Go Premium About Snapxam
ENGESP

Step-by-step Solution

Simplify the algebraic expression $\left(5x-2\right)^2\left(6x+1\right)$

Go!
1
2
3
4
5
6
7
8
9
0
x
y
(◻)
◻/◻
÷
2

e
π
ln
log
log
lim
d/dx
Dx
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

Answer

$4x-95x^2+150x^{3}+4$

Step-by-step explanation

Problem to solve:

$\left(5x-2\right)^2\cdot\left(6x+1\right)$
1

Multiplying polynomials $\left(5x-2\right)^2$ and $6x+1$

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

A binomial squared (difference) is equal to the square of the first term, minus the double product of the first by the second, plus the square of the second term. In other words: $(a-b)^2=a^2-2ab+b^2$

  • Square of the first term: $\left(5x\right)^2 = \left(5x\right)^2$
  • Double product of the first by the second: $2\left(5x\right)\left(-2\right) = 2-25x$
  • Square of the second term: $\left(-2\right)^2 = {\left(-2\right)}^2$

$150x^{3}+6x\left(-20x+4\right)+\left(5x-2\right)^2$

Unlock this step-by-step solution!

Answer

$4x-95x^2+150x^{3}+4$
$\left(5x-2\right)^2\cdot\left(6x+1\right)$

Main topic:

Simplification of algebraic expressions

Time to solve it:

~ 0.08 seconds