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)