If a2 + b2 = 34 and ab = 12; find :
(i) 3(a + b)2 + 5(a - b)2
(ii) 7(a - b)2 - 2(a + b)
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Answer:
i) 224
Step-by-step explanation:
i) 3(a + b)2 + 5(a - b)2
= 3( a2 + b2+2ab)+ 5( a2 + b2-2ab)
= 3( 34+2*12)+5(34-2*12)
=3(34+24)+5(34-24)
=3*58+5*10
= 174+50
=224
ii) 7(a - b)2 - 2(a + b)
= 7( a2 + b2-2ab)-2( a2 + b2+2ab)
= 7(34-24)-2(34+24)
= 7*10-2*58
= 70- 116
= -46
( I think you didn't finish the question)
hope this helps you
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