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Anvisha [2.4K]
3 years ago
6

Factor the expression.

Mathematics
2 answers:
Kamila [148]3 years ago
7 0

Answer:

5(5k²+6)(4k-3)

Step-by-step explanation:

100k³ - 75k² + 120k - 90

Take 5 common above:

= 5(20k³ - 15k² + 24k - 18) ------- eq1

First let simplify 20k³ - 15k² + 24k - 18

= (20k³ - 15k²) + (24k - 18) ---------eq2

Factor out 6 from 24k - 18 :

6(4k-3)

Factor out 5k² from (20k³ - 15k²):

5k²(4k -3)

eq2 becomes:   = 6(4k-3) + 5k²(4k -3)

Factor out common term 4k-3

(6+ 5k²)(4k -3) or (5k²+6)(4k-3)

Thus eq1 becomes:

5(5k²+6)(4k -3)

vova2212 [387]3 years ago
4 0

Answer:

The correct answer is Option 1. 5(5k² + 6)(4k - 3)

Step-by-step explanation:

The given expression is,

100k³ - 75k² + 120k - 90

<u>Factor the expression</u>

100k³ - 75k² + 120k - 90

= 5[20k³ - 15k² + 24k - 18]   [Taking 5 as common factor]

= 5[ 5k²(4k - 3) + 6(4k - 3) ]

= 5[(4k - 3)(5k² + 6)]

= 5[(5k² + 6) (4k - 3)]

Therefore the correct answer is Option 1. 5(5k² + 6)(4k - 3)

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(-6,1)   (2,7)

Step-by-step explanation:

y =x+5

y = x^2 +5x-7

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x+5 =  x^2 +5x -7

Subtract x from each side

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What 2 numbers multiply to -12 and add to +4

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We need to find y for each value of x

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