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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

Answer

370

4 steps

Formula for $a^3 + b^3$
$a^3 + b^3 = (a + b)(a^2 - ab + b^2)$
Formula for $a^2 + b^2$
$a^2 + b^2 = (a + b)^2 - 2ab$
Substitute $a + b = 10$ and $ab = 21$ :
$a^2 + b^2 = 10^2 - 2 \times 21 = 100 - 42 = 58$
Substitute into the expression for $a^2 - ab + b^2$
$a^2 - ab + b^2 = a^2 + b^2 - ab = 58 - 21 = 37$
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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