Simplify : 4 3 5 81 8 343 15 32 225
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Step-by-step explanation:
(2x² + 3)⁴
Write the power 4 as 2 + 2
= (2x² + 3)^2+2
Using a^m+n = a^m + a^n to expand the expression,
(2x + 3)² + (2x² + 3)²
Using (a + b)² = a² + 2ab + b² to expand the expression,
(4x⁴ + 12x² + 9) × (4x⁴ + 12x² + 9)
Multiplying the expressions
= 16x⁸ + 48x⁶ + 36x⁴ + 48x⁶ + 144x⁴ + 108x² + 38x⁴ + 108x² + 81
Collect the like terms,
= 16x⁸ + 96x⁶ + 216x⁴ + 216x² + 81
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