Can someone help me with factoring these please Work shown i

Can someone help me with factoring these please? Work shown is really helpful! thanks!

Factor completely. Check for gcf. Then i9denfity pattern difference of cubes, grouping) 12x^2 y^2 - 15x^3 y 4x^2 - 1 4x^2 - 4x + 1 4x^4 + 8x^2 + 4 x^6 + 1 x^6 -1 8x^3 - 27 x^9 +y^6 8x^12 - 27y^15 64a^18 + 125 ax + bx + a + b 2x^6 - 128 a(b + 3) - 2(b + 3) a(b - 3) - 2(3 - b) ab - 2a + 5b - 10 3ab - 2 + 2b - 10 4x^3 - 19x^2 + 15x 15x^2 + 23x + 6

Solution

1. 12x²y²-15x³y = 3x²y(y-x)

2. 4x²-1 =(2x)²-1² =(2x+1)(2x-1)

3. 4x²-4x+1 = (2x)²-2*2x*1 +1² =(2x-1)²

4. 4x⁴+8x²+4 =4((x²)²+2*x²*1 +1) = 4(x²+1)²

5. x⁶+1 = (x²+1)(x⁴-2x²+1)