Question

Add_____________. 5 x + 6 Y - 3 Z ,4 Y + Z - 3 x ,x - 6 Z - 3 y​

Answer 1

Step-by-step explanation:

Let us add the given expressions 5x−8y+2z,3z−4y−2x,6y−z−x and 3x−2z−3y as shown below:

(5x−8y+2z)+(3z−4y−2x)+(6y−z−x)+(3x−2z−3y)

=5x−8y+2z+3z−4y−2x+6y−z−x+3x−2z−3y

=(5x−2x−x+3x)+(−8y−4y+6y−3y)+(2z+3z−z−2z)(Combiningliketerms)

=(5−2−1+3)x+(−8−4+6−3)y+(2+3−1−2)z

=5x−9y+2z

Hence, (5x−8y+2z)+(3z−4y−2x)+(6y−z−x)+(3x−2z−3y)=5x−9y+2z.

Answer 2

Let us add the given expressions 5x−8y+2z,3z−4y−2x,6y−z−x and 3x−2z−3y as shown below:

(5x−8y+2z)+(3z−4y−2x)+(6y−z−x)+(3x−2z−3y)

=5x−8y+2z+3z−4y−2x+6y−z−x+3x−2z−3y

=(5x−2x−x+3x)+(−8y−4y+6y−3y)+(2z+3z−z−2z)(Combining terms)

=(5−2−1+3)x+(−8−4+6−3)y+(2+3−1−2)z

=5x−9y+2z

Hence, (5x−8y+2z)+(3z−4y−2x)+(6y−z−x)+(3x−2z−3y)=5x−9y+2z.

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