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Đáp án+Giải thích các bước giải:

b) 9x² - 24xy + 16y²

= (3x)² - 2 . 3x . 4y + (4y)²

= (3x - 4y)²

d) 1 + 8$x^{6}$y³

= 1³ + (2x²y)³

= (1 + 2x²y)[1² - 1 . 2x²y + (2x²y)²]

= (1 + 2x²y)(1 - 2x²y + 4$x^{4}$y²)

g) (4x² - 25)² - 9(2x - 5)²

= [(2x)² - 5²]² - 9(2x - 5)²

= [(2x - 5)(2x + 5)]² - 3²(2x - 5)²

= (2x - 5)²(2x + 5)² - 3²(2x - 5)²

= (2x - 5)² [(2x + 5)² - 3²]

= (2x - 5)²(2x + 5 - 3)(2x + 5 + 3)

= (2x - 5)²(2x + 2)(2x + 8)

= (2x - 5)² . 2(x + 1) . 2(x + 4)

= 4(2x - 5)²(x + 1)(x + 4)

@tuan789