Question

Simplify the expressions below. Write the final product in standard form.

1. 2x4(4x2 + 3x + 1)
2. (4x – 3)(2x2 – 7x + 1)
3. (x2 + 4x – 3)(2x2 + x + 6)

Answer 1

Please show the work. I want to learn how to do it properly.

Answer 2

x-is this times of x'es?

Answer 3

um. what?

Answer 4

I am a bit confused with the symbol x are you using it as multiplication sign or is it a variable called x?

Answer 5

A variable.

Answer 6

multiply individual terms first

i.e. (a+b)(c+d) = a(c+d) + b(c+d)

Answer 7

for the first problem multiply every term of (4x2 + 3x + 1) with 2x^4

Answer 8

2x^4(4x^2+3x+1)
(4x – 3)(2x^2 – 7x + 1)
(x^2 + 4x – 3)(2x^2 + x + 6)
It really should be like this

Answer 9

okay

Answer 10

they are 3 different problems na. do one by one.

Answer 11

ok

Answer 12

so should it look like this:2x^4(4x^2+3x+1)--> 8x^6+6x+2x^4?

Answer 13

?

Answer 14

check it once.

Answer 15

ok
it it right though?

Answer 16

no. 2nd term is wrong.

Answer 17

oh i forgot the ^4. so it would be 8x^6+6x^4+2x^4

Answer 18

check again.

Answer 19

8x^6+6x^5+2x^4

Answer 20

?

Answer 21

yeah. correct.

Answer 22

okay so what do i do now?

Answer 23

you have solved the question #1.

Now solve #2.

Answer 24

Its really solved all the way?

Answer 25

yeah. you solved the question number 1.

Answer 26

(4x – 3)(2x^2 – 7x + 1)
(11x-2)2x^2
22x^3-4x^2

Answer 27

is that right?

Answer 28

no. first multiply every term in (2x^2 – 7x + 1) with every term in (4x – 3)

Answer 29

oohhhhh. okay. lemme try that

Answer 30

yeah.

Answer 31

(4x – 3)(2x^2 – 7x + 1)
8x^3-28+4x-6x^2+21-3
then what?

Answer 32

you are missing some powers of x. check once again.

Answer 33

8x^3-28x+4x-6x^2+21-3

Answer 34

actually its 8x^3-28x+4x-6x^2+21x-3

Answer 35

2nd term should be -28x^2

Answer 36

oohhhh

Answer 37

4x * (-7x) na. so = -28x^2. got it?

Answer 38

ya

Answer 39

now simplify the terms. i.e add same powers of x

Answer 40

so the answer would be 2x^5-28x^2-1+21x?

Answer 41

*2x^5-28x^2+1+21x?

Answer 42

no. there is x^5.

you got this. 8x^3-28x^2+4x-6x^2+21x-3. right?

now simplify this one only.

Answer 43

8x^3 - 34x^2 + 25x - 3?

Answer 44

yeah. thats correct. very good.

Answer 45

okay

Answer 46

(x^2 + 4x – 3)(2x^2 + x + 6)
2x^5+x^3+6x^2+8x^3+4x^2-6x^2-3x-18

Answer 47

wrong. check again.

Answer 48

how is it wrong?

Answer 49

x^2 * 2x^2 = 2x^4
and you missed 4x*6

Answer 50

there should be 9 terms but you have only 8

Answer 51

ooohhh. so the answer would be (x^2 + 4x – 3)(2x^2 + x + 6)

Answer 52

*2x^4 + 5x^3 - 2x^2 + 45x - 18

Answer 53

no. first write the expanded form. i.e. the one you got after you multiplied

Answer 54

2x^5+x^3+6x^2+8x^3+4x^2+24x-6x^2-3x-18

Answer 55

it should be
2x^4+x^3+6x^2+8x^3+4x^2+24x-6x^2-3x-18

Answer 56

now simplify.

Answer 57

2x^4 + 5x^3 - 2x^2 + 45x - 18

Answer 58

no. do it again.

Answer 59

can you explain it? im stumped

Answer 60

2x^4+x^3+6x^2+8x^3+4x^2+24x-6x^2-3x-18

you got this?

Answer 61

ya

Answer 62

so when you simplify it would be

2x^4+9x^3+4x^2+21x-18

Answer 63

ok. thanks