Choose the correct simplification of 7x2(6x + 3x2 − 4). 21x4 − 42x3 + 28x2 42x4 + 21x3 − 3x2 21x4 + 42x3 − 28x2 42x4 − 13x3 + 11x2

Option (3) is correct.

Step-by-step explanation:

Given: expression

We have to write the correct simplification of the given expression

Consider the given expression

Multiply with each term in brackets  

we get,

Apply exponent rule,   and Simplify by multiply, we get,

Thus, Rearranging in standard form,  we get,

Thus, Option (3) is correct.

for any of you who need the translation here it is

step-by-step explanation:

find the angular size of the equatorial radius of the earth, if the horizontal parallax of the sun

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.