Simplify (a2+5)(b2+3)+5
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= a²(b²+3)+5(b²+3)+5
= a²(b)²+a²(3)+a²(5)+5(b)²+5(3)+5(5)
= a²b²+3a²+5a²+5b²+15+25
= a²b²+8a²+5b²+45
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