Question

ind the value of 125a^3+343b^3 if 5a+7b=21/2 and ab=5/6

Answer 1

Answer:

$\frac{8841}{32}$

Step-by-step explanation:

Identity

• $A^3+B^3=(A+B)(A^2-AB+B^2)$

$125a^3+343b^3=(5a)^3+(7b)^3$

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∴$A^3+B^3=\frac{21}{2} *\frac{421}{16} =\frac{8841}{32}$