This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
यहाँ प्रश्न 8 के भाग (v) का गुणनखंड किया गया है: 8. गुणनखंड करें: v) (1)/(4)x^2 + y^2 + (1)/(16)z^2 - xy - (1)/(2)yz + (1)/(4)zx Step 1: यह व्यंजक (A+B+C)^2 = A^2+B^2+C^2+2AB+2BC+2CA के रूप में है। यहाँ A^2 = (1)/(4)x^2, B^2 = y^2, C^2 = (1)/(16)z^2 है। 2AB = -xy A=(1)/(2)x, B=-y (या A=-(1)/(2)x, B=y) 2BC = -(1)/(2)yz B=-y, C=(1)/(4)z 2CA = (1)/(4)zx C=(1)/(4)z, A=(1)/(2)x इसलिए, A=(1)/(2)x, B=-y, C=(1)/(4)z है। Step 2: इन मानों को (A+B+C)^2 सूत्र में रखें। ((1)/(2)x + (-y) + (1)/(4)z)^2 Step 3: व्यंजक को सरल करें। ((1)/(2)x - y + (1)/(4)z)^2 Last free one today — make it count tomorrow, or type /upgrade for unlimited.