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!

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places