Subtract ab - bc - ca from - ab + bc + ca

Solution:

Given, the expressions are ab - bc - ca and - ab + bc + ca.

We have to subtract the expressions

On subtracting the expressions,

= - ab + bc + ca - (ab - bc - ca)

= -ab + bc + ca - ab + bc + ca

By combining the like terms,

= -ab - ab + bc + bc + ca + ca

By distributive property,

= (-1 - 1)ab + (1 + 1)bc + (1 + 1)ca

= (-2)ab + (2)bc + (2)ca

= -2ab + 2bc + 2ca

Therefore, the required expression is -2ab + 2bc + 2ca.

✦ Try This: Subtract 3ab - 3bc - 3ca from - 2ab + 3bc + 5ca

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 12

NCERT Exemplar Class 7 Maths Chapter 10 Problem 58 (e)

Subtract ab - bc - ca from - ab + bc + ca

Summary:

On subtracting ab - bc - ca from - ab + bc + ca, we get -2ab + 2bc + 2ca

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