Simplify (a²+12) (b²+12)+144
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Answer:
288 + 12a² + 12b² + a²b²
Step-by-step explanation:
Using identity IV
( x + a ) ( x + b )
= x² + ( a + b )x + ab
x ⇒ 12
a ⇒ a²
b ⇒ b²
(12)² + ( a² + b² )12 + (a²)(b²) + 144
144 + 12a² + 12b² + a²b² + 144
288 + 12a² + 12b² + a²b²
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