Question

Factorize the given expression:

9x2 + 49y2 + 25z2 - 42xy - 30xz + 70y​

Answer 1

Step-by-step explanation:

$9x² + 49y² + 25z² - 42xy - 30xz + 70yz \\ using \: x² +y²+z²-2xy-2xz+2yz= (-x +y +z)² \\ = ({ - 3x})^{2} + ( {7y})^{2} + ( {5z})^{2} - 2(3x)(7y) - 2(3x)(5z) + 2(7y)(5z) \\ = {( - 3x + 7y + 5z)}^{2}$