Math 20 points and brainliest
multipy, show all work by grouping to identify the like terms before you simplify
(5x-1)(6x^2 +3x+7)
you need to show work and if possible explain why you did the steps because that would me learn this, : )

Use distribution to find the answer to this one.

5x * 6x² = 30x^3

5x * 3x = 15x²

5x * 7 = 35x

-1 * 6x² = -6x²

-1 * 3x = -3x

-1 * 7 = -7

30x^3 + 15x² + 35x - 6x² - 3x - 7 → simplify this using like terms (look at the exponent of x and if there even is one)

30x^3 stays becuase there is no other like terms

15x² - 6x² = 9x² becuase they are like terms

35x - 3x = 32x because they are like terms

-7 stays because ther is no other like terms

Put these together in the final 30x^3 + 9x² + 32x - 7

Hope this helps!

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step-by-step explanation:

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.