Verified answer

All these questions r based on da factoring property: a² − b² = (a + b)(a − b)

x² − 9

= (x)² − (3)²

= (x + 3)(x − 3)

36y² − 1

= (6y)² − (1)²

= (6y + 1)(6y − 1)

9a⁴− b²

= (3a²)² − (b)²

= (3a² + b)(3a² − b)

x¹⁰ − y²

= (x⁵)² − (y)²

= (x⁵ − y)(x⁵ + y)

Hope this helps

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These are all the difference of two squares: A^2 - B^2 = (A + B)(A - B)

x^2 - 9 = x^2 - 3^2 = (x + 3)(x - 3)

36y^2 - 1 = (6y)^2 - (1)^2 = (6y + 1)(6y -1)

9a^4 - b^2 = (3a^2)^2 - b^2 = (3a^2 + b)(3a^2 - b)

x^10 - y^2 = (x^5)^2 - y^2 = (x^5 + y)(x^5 - y)