Which of the following is equivalent to ?

Asked by maham237 @ in Mathematics viewed by 203 People

(17 – 2) + g2
(17 – 2) + g
(17 – 2)g2
(17 – 2)g

Answered by maham237 @


The equivalent expression of 17g - 2g is \boxed{\left( {17 - 2} \right)g}. Option (d) is correct.


Further explanation:

Factors are the numbers that are multiplied together to obtain another number.

Perfect square is number that can be obtaining by squaring the number.


Given:

(a). \left( {17 - 2} \right) + g2

(b). \left( {17 - 2} \right) + g

(c). \left( {17 - 2} \right g2

(d). \left( {17 - 2} \right g


Explanation:

The given expression is A = 17g - 2g.


The factors of 17g can be expressed as follows,

\begin{aligned}B&= 17g\\&= 17 \times g\\\end{aligned}


The factors of 2g can be expressed as follows,

\begin{aligned}C &= 2g\\&= 2 \times g \\\end{aligned}


Take g as a common factor from 17g and 2g.


The value of g can be expressed as follows,

\begin{aligned}A &= 17g - 2g\\&=\left( {17 - 2} \right)g\\\end{aligned}


The equivalent expression of 17g - 2g is \boxed{\left( {17 - 2} \right)g}. Option (d) is correct.


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Answer details:

Grade: High school

Subject: Mathematics

Chapter: Number system


Keywords: equivalent, 17g – 2g, place value, base value, decimal expansion, whole number, natural number, the equation, solution, linear equation.


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