Which of the following is equivalent to (-7x^3+5ax-3) + (7x^3+5-9ax)?A. 14x^3 - 4ax + 2B. x^6 - 4ax + 2C. -4ax + 2D. -49x^3 - 45ax - 15

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justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

The question involves direct addition of terms that are alike.

(-7x^3+5ax-3) + (7x^3+5-9ax)

Open the brackets

-7x^3 + 5ax - 3 + 7x^3 + 5 - 9ax

Take the alike terms together

=> -7x^3 + 7x^3 + 5ax - 9ax - 3 + 5

=> 0 - 4ax + 2

The required result is -4ax + 2, which is option C.

tariqqqq's profile pic

tariqqqq | Student, Undergraduate | (Level 1) Honors

Posted on

(-7x^3+5ax-3) + (7x^3+5-9ax)  ---- (multiply the equation on the right by (+). Step 1.

-7x^3+5ax-3 + 7x^3+5-9ax   ------  (-7x^3+7x^3=0).Step 2.

5ax-3+5-9ax   ---- (5ax-9ax=-4ax).Step 3.

-4ax-3+5   --- (-3+5=2). Step 4.

-4ax+2. Step 5.

"C" is the right the equivalent equation for (-7x^3+5ax-3) + (7x^3+5-9ax). I hope my explainations helped you to understand :). Feel free to message me for anymore questions.

 

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