Question

factorise $25x^{2} +9x^{2} +9z^{2} -30xy-18yz+30xz$

Answer 1

Answer:

${(x + y + z)}^{2} = {x}^{2} + {y}^{2} + {z}^{2} + 3xy + 3xz + 3yz$

$25 {x}^{2} + 9 {y}^{2} + 9 {z}^{2} - 30xy - 18yz + 30xz$

${(5x)}^{2} + {( - 3y)}^{2} + {(3z)}^{2} + 2(5x)( - 3y) + 2( - 3y)(3z) + 2(5x)(3z)$

${(5x - 3y + 3z)}^{2}$

$(5x - 3y + 3z)(5x - 3y + 3z)$

Step-by-step explanation:

Hope it helps you out.....