What is the sum of 2x+17 = 20y+ 49

1.	What is the sum of 2x+17 = 20y+ 49
Answer» 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

Answer»

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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