Question

Please answer this question in the image ​

Answer 1

Answer:

1.)

6x³ + x² - 9x + 6

2.)

x⁴ - 10x³ + 35x² - 50x + 24

3.)

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Step-by-step explanation:

1.)

(x + 2)(3x - 1)(2x - 3)

(3x² - x + 6x - 2)(2x - 3)

(3x² + 5x - 2)(2x - 3)

6x³ + 10x² - 4x - 9x² - 15x + 6

6x³ + x² - 9x + 6

2.)

(x - 1)(x - 2)(x - 3)(x - 4)

(x² - 2x - x + 2)(x - 3)(x - 4)

(x² - 3x + 2)(x - 3)(x - 4)

(x³ - 3x² + 2x - 3x² + 9x - 6)(x - 4)

(x³ - 6x² + 11x - 6)(x - 4)

x⁴ - 6x³ + 11x² - 6x - 4x³ + 24x² - 44x + 24

x⁴ - 10x³ + 35x² - 50x + 24

3.)

(3p - 5q)² - (3p + 5q)² + 60pq

(3p)² + (5q)² - 2(3p)(5q) - [(3p)² + (5q)² + 2(3p)(5q)] + 60pq

9p² + 25q² - 30pq - [9p² + 25q² + 30pq] + 60pq

9p² + 25q² - 30pq - 9p² - 25q² - 30pq + 60pq

-60pq + 60pq

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