If (a+b) = 4 and ab = 3 find the value of a³+b³
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Step-by-step explanation:
a+b=4…………..(1)
ab=3…...……..(2)
Squaring both side eq.(1)
a2+b^2+2ab=16
a^2+b^2+2×3=16
a^2+b^2=10………….(3)
a^3-b^3=(a+b)(a^2+b^2+ab)
= (4) ×(10 +4)
=4×16
=64
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