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17)

100x² - 4y² = (10x - 2y)(10x + 2y)

18)

x² + 6xy - 16y² =

= x² + 8xy - 2xy - 16y²

= x(x - 2y) + 8y(x - 2y)

= (x + 8y)(x - 2y)

20)

18x² - 8y² =

= 2(9x² - 4y²)

= 2[(3x)² - 2y)²]

= 2(3x + 2y)(3x - 2y)

22)

9x² - 81y² =

= (3x - 9y)(3x + 9y)

23)

64y² - 16 =

= (8y - 4)(8y + 4)

29)

9x² - 36 =

= (3x - 6)(3x + 6)

[tex]17) \: 100x {}^{2} - 4y {}^{2} [/tex]

[tex]4(25x {}^{2} - y {}^{2} )[/tex]

[tex]4(5x - y)(5x + y)[/tex]

18)x^2+6xy-16y^2

x^2+8xy-2xy-16y^2

x(x-2y)+8y(x-2y)

(x+8y)(x-2y)

[tex]20) \: 18x {}^{2} - 8y {}^{2} [/tex]

[tex]2(9x {}^{2} - 4y {}^{2} )[/tex]

[tex]2(3x - 2y)(3x + 2y)[/tex]

[tex]22) \: 9x {}^{2} - 81y {}^{2} [/tex]

[tex]9( {x}^{2} - 9y {}^{2} )[/tex]

[tex]9(x - 3y)(x + 3y)[/tex]

23)64y^2-16

(8y-4)(8y+4)

29)9x^2-36

(3x-6)(3x+6)