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Which expression is equivalent to 18x2 – 50?
(1) 2(3x + 5)2
(3) 2(3x - 5)(3x + 5)
(2) 2(3x – 5)2
(4) 2(3x – 25)(3x + 25)

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Hrishii

Answer:

(3) 2(3x - 5)(3x + 5)

Step-by-step explanation:

[tex]18 {x}^{2} - 50 \\ = 2(9 {x}^{2} - 25) \\ = 2(3x - 5)(3x + 5)[/tex]

The algebraic expression equivalent to [tex]18x^{2} - 50[/tex] =  [tex]2 (3x -5)(3x +5)[/tex].

What is algebraic expression ?

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations.

[tex]= 2 (3x -5)(3x +5)\\= 2 ( 9x^{2} -25)\\=18 x^{2} -50[/tex]

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