Question

Simplity (i) (2x + 5)(4x² – 20x +25)- (2x - 5)(4x² +20x + 5)​

Answer 1

Solution for (2x+5)(4x^2+20x+25)=0 equation:

Simplifying

(2x + 5)(4x2 + 20x + 25) = 0

Reorder the terms:

(5 + 2x)(4x2 + 20x + 25) = 0

Reorder the terms:

(5 + 2x)(25 + 20x + 4x2) = 0

Multiply (5 + 2x) * (25 + 20x + 4x2)

(5(25 + 20x + 4x2) + 2x * (25 + 20x + 4x2)) = 0

((25 * 5 + 20x * 5 + 4x2 * 5) + 2x * (25 + 20x + 4x2)) = 0

((125 + 100x + 20x2) + 2x * (25 + 20x + 4x2)) = 0

(125 + 100x + 20x2 + (25 * 2x + 20x * 2x + 4x2 * 2x)) = 0

(125 + 100x + 20x2 + (50x + 40x2 + 8x3)) = 0

Reorder the terms:

(125 + 100x + 50x + 20x2 + 40x2 + 8x3) = 0

Combine like terms: 100x + 50x = 150x

(125 + 150x + 20x2 + 40x2 + 8x3) = 0

Combine like terms: 20x2 + 40x2 = 60x2

(125 + 150x + 60x2 + 8x3) = 0

Solving

125 + 150x + 60x2 + 8x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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