Question

Can someone help me complete these problems? Quick ( Just the first two)

Answer 1

1. 4m³−2mn−2n² must be added to m^3+3mn+2n^2 to obtain 5m^3 + mn

2. It will be diminished by −2x+14z to give 5x-7z

Explanation:

1) what should be added to m^3+3mn+2n^2 to obtain 5m^3 + mn

So, Let's insert +a in first side of equation

m^3+3mn+2n^2 + a = 5m^3 + mn

Let's solve for a.

m3+3mn+2n2+a=5m3+mn

Step 1: Add -m^3 to both sides.

m³+3mn+2n²+a+−m³=5m³+mn+−m³

3mn+2n²+a=4m³+mn

Step 2: Add -3mn to both sides.

3mn+2n²+a+−3mn=4m³+mn+−3mn

2n²+a=4m³−2mn

Step 3: Add -2n^2 to both sides.

2n²+a+−2n²=4m³−2mn+−2n²

a=4m³−2mn−2n²

2) By how much must 3x + 7z be diminished to give 5x - 7z

So, let's add A

3x + 7z - A = 5x - 7z

Let's solve for a.

3x+7z−a=5x−7z

Step 1: Add -3x to both sides.

−a+3x+7z+−3x=5x−7z+−3x

−a+7z=2x−7z

Step 2: Add -7z to both sides.

−a+7z+−7z=2x−7z+−7z

−a=2x−14z

Step 3: Divide both sides by -1.

−a/−1 = 2x−14z/−1

a=−2x+14z