What is the first step in simplifying the expression -5x2(4x3 - x2)2 ?
O Distribute -5x?
Square 4x - x2
Subtract 4x3 - 2

Square 4x³ - x²

Step-by-step explanation:

Given the expression -5x²(4x³ - x²)²

The first step in simplifying the expression is to open the parenthesis by taking the square of 4x³ - x² as shown;

-5x²(4x³ - x²)²

= -5x²[(4x³)²- 2x²(4x³) + (x²)²]

= -5x²[16x^6- 8x^5 + x^4]

Hence the correct answer is Square 4x³ - x²

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step-by-step explanation:

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: