Simplify the following algebraic expression.
$6 x^{2} - 2 x^{2} - 2 x$

x = 2, 0

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x = \frac{1}{2}, 0

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x = - 2, 0

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n o n e

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Solution

The correct option is B $x = \frac{1}{2}, 0$
Let us factorize the given algebraic expression $6 x^{2} - 2 x^{2} - 2 x$ by equating it to $0$ as shown below:

$6 x^{2} - 2 x^{2} - 2 x = 0 \Rightarrow 4 x^{2} - 2 x = 0 \Rightarrow 2 x (2 x - 1) = 0 \Rightarrow 2 x = 0, (2 x - 1) = 0 \Rightarrow x = 0, 2 x = 1 \Rightarrow x = 0, x = \frac{1}{2}$

Hence, $x = \frac{1}{2}, 0$

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Simplify the following algebraic expression.6x2−2x2−2x

The correct option is B x=12,0Let us factorize the given algebraic expression 6x2−2x2−2x by equating it to 0 as shown below:6x2−2x2−2x=0⇒4x2−2x=0⇒2x(2x−1)=0⇒2x=0,(2x−1)=0⇒x=0,2x=1⇒x=0,x=12 Hence, x=12,0

Simplify the following algebraic expression.
$6 x^{2} - 2 x^{2} - 2 x$