What is the answer to (2x^2-18)(x+3)(x-3)=2x^4-36x^2+162 ?

The answer to (2x^2-18)(x+3)(x-3)=2x^4-36x^2+162 is True for all x

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(2x^2-18)(x+3)(x-3)=2x^4-36x^2+162

(2 x^{2} - 18) (x + 3) (x - 3) = 2 x^{4} - 36 x^{2} + 162

True for all x

Solution steps

(2 x^{2} - 18) (x + 3) (x - 3) = 2 x^{4} - 36 x^{2} + 162

Expand

(x + 3) (x - 3) : x^{2} - 9

(2 x^{2} - 18) (x^{2} - 9) = 2 x^{4} - 36 x^{2} + 162

Expand

(2 x^{2} - 18) (x^{2} - 9) : 2 x^{4} - 36 x^{2} + 162

2 x^{4} - 36 x^{2} + 162 = 2 x^{4} - 36 x^{2} + 162

Move

162

to the right side

2 x^{4} - 36 x^{2} = 2 x^{4} - 36 x^{2}

Subtract

2 x^{4} - 36 x^{2}

from both sides

2 x^{4} - 36 x^{2} - (2 x^{4} - 36 x^{2}) = 2 x^{4} - 36 x^{2} - (2 x^{4} - 36 x^{2})

Simplify

0 = 0

Both sides are equal

True for all x

a - c = d - r

12 x - 17 = 33

\frac{3}{2} t = - 12

3 (x + 7) = 6 (x + 2)

2 x - 5 = - 4 x + 7

What is the answer to (2x^2-18)(x+3)(x-3)=2x^4-36x^2+162 ?
The answer to (2x^2-18)(x+3)(x-3)=2x^4-36x^2+162 is True for all x
Solve for x: (2x^2-18)(x+3)(x-3)=2x^4-36x^2+162
The solution is True for all x