Value of a^3 +b^3 when a+b=4 and ab=5
Answers
Step-by-step explanation:
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Answer:
63
Step-by-step explanation:
5a-b=3…………..(1) and ab=4…. ……..(2)
a-b=3…………..(1) and ab=4…. ……..(2)Squaring both side eq.(1)
a-b=3…………..(1) and ab=4…. ……..(2)Squaring both side eq.(1)a2+b^2–2ab=9
a-b=3…………..(1) and ab=4…. ……..(2)Squaring both side eq.(1)a2+b^2–2ab=9a^2+b^2–2×4=9
a-b=3…………..(1) and ab=4…. ……..(2)Squaring both side eq.(1)a2+b^2–2ab=9a^2+b^2–2×4=9a^2+b^2=17………….(3)
a-b=3…………..(1) and ab=4…. ……..(2)Squaring both side eq.(1)a2+b^2–2ab=9a^2+b^2–2×4=9a^2+b^2=17………….(3)a^3-b^3=(a-b)(a^2+b^2+ab)
a-b=3…………..(1) and ab=4…. ……..(2)Squaring both side eq.(1)a2+b^2–2ab=9a^2+b^2–2×4=9a^2+b^2=17………….(3)a^3-b^3=(a-b)(a^2+b^2+ab)= (3) ×(17 +4)
a-b=3…………..(1) and ab=4…. ……..(2)Squaring both side eq.(1)a2+b^2–2ab=9a^2+b^2–2×4=9a^2+b^2=17………….(3)a^3-b^3=(a-b)(a^2+b^2+ab)= (3) ×(17 +4)=3×21
a-b=3…………..(1) and ab=4…. ……..(2)Squaring both side eq.(1)a2+b^2–2ab=9a^2+b^2–2×4=9a^2+b^2=17………….(3)a^3-b^3=(a-b)(a^2+b^2+ab)= (3) ×(17 +4)=3×21= Hence, 63 Answer.