3 (अ) बाबी लाल का संबंध किस खेल से है? (ब) क्रिकेट से है। (स) हॉकी से है। (द) इनमें से कोई नहीं।

March 18, 2026Mathematics

ScanSolve AI Answer

March 18, 2026

Answer

370

Step 1: Formula for $a^3 + b^3$

a^3 + b^3 = (a + b)(a^2 - ab + b^2)

Step 2: Formula for $a^2 + b^2$

a^2 + b^2 = (a + b)^2 - 2ab

Substitute $a + b = 10$ and $ab = 21$ :

a^2 + b^2 = 10^2 - 2 \times 21 = 100 - 42 = 58

Step 3: Substitute into the expression for $a^2 - ab + b^2$

a^2 - ab + b^2 = a^2 + b^2 - ab = 58 - 21 = 37

Step 4: Substitute into the formula for $a^3 + b^3$

a^3 + b^3 = (a + b)(a^2 - ab + b^2) = 10 \times 37 = 370

**Final answer: **370

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Formula for a^3 + b^3 a^3 + b^3 = (a + b)(a^2 - ab + b^2) Step 2: Formula for a^2 + b^2 a^2 + b^2 = (a + b)^2 - 2ab Substitute a + b = 10 and ab = 21: a^2 + b^2 = 10^2 - 2 × 21 = 100 - 42 = 58 Step 3: Substitute into the expression for a^2 - ab + b^2…

Asked on March 18, 2026Mathematics

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 AnswerAnswered on March 18, 2026

Step 1: Formula for a^3 + b^3 a^3 + b^3 = (a + b)(a^2 - ab + b^2) Step 2: Formula for a^2 + b^2 a^2 + b^2 = (a + b)^2 - 2ab Substitute a + b = 10 and ab = 21: a^2 + b^2 = 10^2 - 2 × 21 = 100 - 42 = 58 Step 3: Substitute into the expression for a^2 - ab + b^2 a^2 - ab + b^2 = a^2 + b^2 - ab = 58 - 21 = 37 Step 4: Substitute into the formula for a^3 + b^3 a^3 + b^3 = (a + b)(a^2 - ab + b^2) = 10 × 37 = 370 Final answer: 370