Please help fast! The rate of change is constant in the graph. Find the rate of change in my question in Question 4. Points scored in baskets. Find the rate of change within the graph!

Please help fast! The rate of change is constant in the graph. Find the rate of change in my questi

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kidkoolaidboy96291

22.01.2023

Mathematics

a. 9x^4 - 16x^2

=(3x^2)^2 - (4x)^2

By using a² - b² = ( a + b ) ( a - b ),

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

$= (3x^2 + 4) ( ((\sqrt{3}x )^2 - (2\sqrt{x})^2)$

$= (3x^2 + 4) (\sqrt{3}x + 2\sqrt{x})(\sqrt{3}x - 2\sqrt{x})$

b. 2x^3 + 5x^2 - 8x - 20

=x^2( 2x + 5) - 4( 2x + 5)

= (x^2 - 4) ( 2x + 5)

=(x+2)(x-2)(2x + 5)

c. x^3 + 3x^2 + 3x + 1

=x^3 + 3x(x +1) + 1^3

=(x+1)^3

( by using (a + b)³ = a³ + 3ab(a+b) + b³ )

d. 8x^3 - 1

=(2x)^3 - 1

$=(2x-1)((2x)^2 + 2x\times 1 + 1^2)$

=(2x - 1 )( 4x^2 + 2x + 1)

( by using a³ - b³ = ( a - b ) (a² + ab + b² ) )

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