Question

(X square + 4)square​

Answer 1

Basically what you are asking is

$(x {}^{2} + 4) {}^{2}$

assume

$x {}^{2} = a \\ and \: 4 = b$

then the new equation will be as follows

$(a + b) {}^{2}$

which is equal to

$a {}^{2} + b {}^{2} + 2ab$

substituting values of a and b

$(x {}^{2} ) {}^{2} + 4 {}^{2} + 2(x {}^{2} )(4)$

$we \: get \\ x {}^{4} + 16 + 8x {}^{2}$

This is your answer

Answer 2

(x² + 4)² = x⁴ + 8x² + 16.

Explanation:

Given: (x² + 4)² = ?

We know the formula: (a + b)² = a² + b² + 2ab

Here in the given equation assume a = x², b = 4.

substituting the values in the formula we get,

= (x²)² + 4² + 2 x x² x 4

= x⁴ + 16 + 8x²

= x⁴ + 8x² + 16.

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