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rjkz [21]
3 years ago
9

(x+6)(x+4)(x-3) expand and simplify

Mathematics
2 answers:
marin [14]3 years ago
5 0

Answer:

Step-by-step explanation:

(x+6)(x+4)(x-3)

= [(x+6)(x+4)](x-3)

= (x² + 4x + 6x + 24)(x - 3)

= (x² +10x + 24)(x - 3)

= x³ - 3x² + 10x² - 30x + 24x - 72

= x³ + 7x² - 6x - 72

masha68 [24]3 years ago
4 0

Answer:

x^3 +7x^2 - 6x - 72.

Step-by-step explanation:

(x + 6)(x + 4)(x - 3)

= (x + 6)[x(x - 3) + 4(x - 3)]

= (x + 6)(x^2 - 3x + 4x - 12)

= (x + 6)(x^2 + x - 12)

= x(x^2 + x - 12) + 6(x^2 + x - 12)

= x^3 + x^2 - 12x + 6x^2+ 6x - 72

= x^3 +7x^2 - 6x - 72.

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Please help me out :)
Katarina [22]

Answer:

A  = 25√3 cm²

Step-by-step explanation:

View 5√3 cm as being the height of an equilateral triangle whose base is at the bottom of the purple figure.  To find the area of one such triangle, we use the area-of-a-triangle formula A = (1/2)(b)(h).  

                                                     opp

Using the sine function sin Ф = --------

                                                      hyp

we find the length of the hypotenuse, which is also the radius of the octagon, and because this is an equilateral triangle, is also the length of the base:

                √3       5√3 cm

sin 60° = -------- = ------------- , which produces the value of hyp:

                  2             hyp

                √3       5√3 cm

              -------- = ------------- , which produces the value of hyp:

                  2             hyp

√3·hyp = 10√3, or hyp = 10 cm

Then the area of this one triangle is A = (1/2)(b)(h), or

A = (1/2) (10 cm)(5√3 cm) = 25√3 cm²

3 0
3 years ago
What is the slope of a line thatpasses through the points (2,3) and (5,20)
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Answer:

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Step-by-step explanation:

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