Factor (x-1)^3 (4x-9) - (16x+9) (x+1)^2 ? Please explain steps, I'm stuck !

Mathematics

1 answer:

Lapatulllka [165]3 years ago

5 0

$(x-1)^3 (4x-9) - (16x+9) (x+1)^2$

$= (x^3-3x^2+3x-1) (4x-9) - (16x+9) (x^2+2x+1)$

$= (4x^4-12x^3+12x^2-4x-9x^3-27x^2-27x+9)-(16x^3+32x^2+16x+9x^2+18x+9)$

$= (4x^4-21x^3+39x^2-31x+9)-16x^3-32x^2-16x-9x^2-18x-9$

$= 4x^4-21x^3+39x^2-31x+9-16x^3-32x^2-16x-9x^2-18x-9$

$= 4x^4-37x^3-2x^2-65x$

$= x(4x^3-37x^2-2x-65)$

hence final factor is $x(4x^3-37x^2-2x-65)$

You might be interested in

Write an inequality to describe the number of students in each homeroom: there is limit of 30 students for each homeroom.

Daniel [21]

To write the inequality, the first thing to do is name the variables that will be present.
We have then that:
x = number of students per room
The inequation is:
x <= 30
answer:
an inequality to describe the number of students in each homeroom is
x <= 30

8 0

4 years ago

What is the answer 17 divide by 1,569?

Firlakuza [10]

Answer:

the answer is 92 rounded up

6 0

4 years ago

Read 2 more answers

Clare made an error when solving -4x + 3 < 23

Fittoniya [83]

Answer:

Clare didn't change the inequality symbol in the last step to >

Step-by-step explanation:

Given inequality is:

$-4x+3$

Clare's error was in the last step where she multiplied the inequality by -4 to remove the minus sign with x. When an in equality is multiplied/Divided by a negative number then the sign of inequality is reversed. < is changed to > and > is changed to less than.

The answer must have been x > -5

The correct way to solve is:

$-4x+3$