Question

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Answer 1

Explicación paso a paso:

a) (a - 5b)²

= a² - 2(a)(5b) + (5b)²

= a² - 10ab + 25b²

b) (4x³ + 2y)²

= (4x³)² + 2(4x³)(2y) + (2y)²

= 16x⁶ + 16x³y + 4y⁴

c) (3/2x - 1/3)²

= (3/2x)² - 2(3/2x²)(1/3) + (1/3)²

= 9/4x² - 6/6x² + 1/9

= 9/4x² - x² + 1/9

d) (x⁴ + 3)²

= (x⁴)² + 2(x⁴)(3) + 3²

= x⁸ + 6x⁴ + 9

e) (m - 8)²

= m² - 2(m)(8) + (8)²

= m² - 16m + 64

f) (2a - b) ²

= (2a)² - 2(2a)(b) + b²

= 4a² - 4ab + b²

g) (2a³ + 4b)²

= (2a³)² + 2(2a³)(4b) + (4b)²

= 4a⁶ + 16a³b + 16b²

h) (x⁷ - 6)²

= (x⁷)² - 2(x⁷)(6) + (6)²

= x¹⁴ - 12x⁷ + 36