Question

Need Algebra Help Please. Will Fan & Medal :)

Factor each expression.

44. 6k^2 - 10kl + 4l^2 =

54. -2h^2 + 4h + 70 =

68. w^2 + 24w + 144 =

70. 25x^2 - 36 =

Answer 1

@jim_thompson5910 Can you help me please?

Answer 2

@KendrickLamar2014

Answer 3

`44. 6k^2 - 10kl + 4l^2`

the first coefficient is 6
the last coefficient is 4
multiply them: 6*4 = 24

now ask yourself: what two numbers multiply to 24 and add to -10 (middle coefficient)?

Answer 4

@jim_thompson5910 Negative 6 & positive 4?

Answer 5

@jim_thompson5910

Answer 6

it should be -6 and -4

Answer 7

44. 6k^2 - 10kl + 4l^2
the first coefficient is 6
the last coefficient is 4
multiply them: 6*4 = 24
now ask yourself: what two numbers multiply to 24 & add to -10 (middle coefficient)?

So finding the coefficients are steps to factor the expression?

Answer 8

Use that fact to break up the `-10kl` into `-6kl-4kl` then factor by grouping

\[\Large 6k^2 - 10kl + 4l^2\]

\[\Large 6k^2 - 6kl - 4kl + 4l^2\]

\[\Large (6k^2 - 6kl) + (-4kl + 4l^2)\]

\[\Large 6k(k - l) + (-4kl + 4l^2)\]

\[\Large 6k(k - l) -4l(k - l)\]

\[\Large (6k - 4l)(k - l)\]

\[\Large (2(3k - 2l))(k - l)\]

\[\Large 2(3k - 2l)(k - l)\]

Answer 9

So 2(3k - 2l) (k - l) is the first answer?

Answer 10

yeah

Answer 11

Can you help me with the rest?

Answer 12

54. -2h^2 + 4h + 70 =

Answer 13

the site is being very slow

Answer 14

you'll follow the same steps for the rest

-2*70 = -140

find two numbers that multiply to -140 and add to 4

Answer 15

Can you walk me threw it please?

Answer 16

@jim_thompson5910

Answer 17

`find two numbers that multiply to -140 and add to 4`
tell me what those two numbers are

Answer 18

-2 times 70 = -140

Answer 19

plus 4 = -144

Answer 20

@jim_thompson5910 So -144?

Answer 21

what two whole numbers multiply to -140 ?

Answer 22

2 and 70

Answer 23

2*70 = 140
2 + 70 = 72

we need the two factors to add to 4 (not 72)

Answer 24

I really dont get it.

Answer 25

this video might be able to help

https://www.youtube.com/watch?v=mNrk3TTYnS8

it offers some good examples