What should be added to 7a2 – 10ab + 3b2 to obtain -3a2 + 5ab + 6b2?
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Given,
Expression= 7a² -10ab + 3b² .
Final expression= -3a² +5ab+ 6b² .
To Find,
The expression that must be added in our given expression such that the addition gives us the final expression.
Solution,
We can simply find the expression using the property - if a+ b=c.
This means, b= c-a.
In the given case, a is the expression given.
c is the final expression.
b is the expression we need to find.
Substituting the value of a and c.
We get, b= -3a² +5ab+ 6b² - (7a² -10ab + 3b²) .
b= -10a² +15ab +3b² .
Hence, the expression needed is, -10a² +15ab +3b² .
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