Question

using identities
1. (x+4) (x+√7)
2. 512x³y³-8z³
3.(4x-7y)³ + (3z-4x)³+(7y-3z)³
4.(-3xy²+2z³y)³+(-2z ²y+yz)³+(-4xy+√3xy²)³​

Answer 1

Answer:

2.

Step-by-step explanation:

use a^3-b^3 identity

Answer 2

$(x + 4)(x + \sqrt{7}) \\ {x}^{2} + (4 + \sqrt{7})x + 4( \sqrt{7}) \\ {x}^{2} + 4x + \sqrt{7}x + 4 \sqrt{7}$

${512x}^{3} {y}^{3} - {8z}^{3} \\ {(8xy)}^{3} - {(2z)}^{3} \\ (8xy - 2z)( {64x}^{2} {y}^{2} + 16xyz + {4z}^{2} )$

${(4x - 7y)}^{3} + {(3z - 4x)}^{3} + {(7y - 3z)}^{3} \\ 3(4x - 7y)(3z - 4x)(7y - 3z)$