Question

please please please please please please please please please tell me​

Answer 1

Step-by-step explanation:

(i)

Given Equation is :

4x² + 9y² + 16z² + 12xy - 24yz - 16xz

⇒ (2x)² + (3y)² + (4z)² + 2(2x)(3y) + 2(3y)(-4z) + 2(2x)(-4z)

[∵ (x + y + z)² = x² + y² + z² + 2xy + 2yz + 2za]

⇒ (2x + 3y - 4z)²

⇒ (2x + 3y - 4z)(2x + 3y - 4z)

(ii)

Given : 2x² + y² + 8z² - 2√2xy + 4√2yz - 8xz

⇒ (−√2x)² + (y)² + (2√2z)² + (2 * (−√2x) * y) + (2 * y * 2√2z)+(2 * 2√2z *(−√2x))

⇒ (−√2x + y + 2√2z)²

⇒ (-√2x + y + 2√2z) (-2√x + y + 2√2z)

Hope it helps!