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3 years ago

What is -8(2-3w)-5 Please explain!

Mathematics

2 answers:

KATRIN_1 [288]3 years ago

8 0

Answer:

24w−21

Step-by-step explanation:

Factoring 24w2+10w-21

The first term is, 24w2 its coefficient is 24 .

The middle term is, +10w its coefficient is 10 .

The last term, "the constant", is -21

Step-1 : Multiply the coefficient of the first term by the constant 24 • -21 = -504

Step-2 : Find two factors of -504 whose sum equals the coefficient of the middle term, which is 10 .

-504 + 1 = -503

-252 + 2 = -250

-168 + 3 = -165

-126 + 4 = -122

-84 + 6 = -78

-72 + 7 = -65

-63 + 8 = -55

-56 + 9 = -47

-42 + 12 = -30

-36 + 14 = -22

-28 + 18 = -10

-24 + 21 = -3

-21 + 24 = 3

-18 + 28 = 10 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -18 and 28

24w2 - 18w + 28w - 21

Step-4 : Add up the first 2 terms, pulling out like factors :

6w • (4w-3)

Add up the last 2 terms, pulling out common factors :

7 • (4w-3)

Step-5 : Add up the four terms of step 4 :

(6w+7) • (4w-3)

Which is the desired factorization

MArishka [77]3 years ago

7 0

Answer:

24w - 21

Step-by-step explanation:

-8(2 - 3w) - 5

We first expand the -8

-16 + 24w - 5

We then add -16 to -5

-16 + -5

= -21

We get the 24w, put in in the equation and get 24w - 21

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$l=5\ cm+3\ cm\\\\l=8\ cm$

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$P=2(8\ cm)+2(5\ cm)\\\\P=26\ cm$

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