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Simplify (x − 4)(4x2 + x − 6).
4x3 − 16x2 − 10x + 24
4x3 + 15x2 + 10x − 24
4x3 − 15x2 − 10x + 24
4x3 + 16x2 + 10x − 24

Respuesta :

Answer:

4x³ − 15x² − 10x + 24

Distribute

x · 4x² + x · x + x · -6 + (-4) · 4x² + (-4) · x + (-4)(-6)

Simplify:

4x²x + xx - 6x - 4 · 4x² - 4x + 4 · 6

Further simplify (by adding and subtracting like terms)

4x³ − 15x² − 10x + 24

Hope this helps :)

Answer:

Its the third choice:  4x^3 - 15x^2 - 10x + 24.

Step-by-step explanation:

(x − 4)(4x2 + x − 6)

= x(4x2 + x − 6) - 4(4x2 + x − 6)

= 4x^3 + x^2 - 6x - 16x^2 - 4x + 24

= 4x^3 - 15x^2 - 10x + 24.

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