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Question

Find the values of the following polynomials at a=2 and b=3.
(i) a33a2b+3ab2b3
(ii) a2+b2abb2a2

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Solution

When a=2 and b=3,

a33a2b+3ab2b3=(2)33(2)2(3)+3(2)(3)233
=83(4)(3)+3(2)(9)27
=8365427
=125

a2+b2abb2a2=(2)2+32(2×3)32(2)2
=4+9(6)94
=4+9+694
=6

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