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jeka94
3 years ago
10

Find the difference (5a^2+4ab-3b^2)-(-5ab+4b^2+3a^2)

Mathematics
2 answers:
Vesna [10]3 years ago
8 0

Answer:

\boxed{\bold{2a^2+9ab-7b^2}}

Step By Step Explanation:

Remove Parenthesis: (a) = a

\bold{5a^2+4ab-3b^2-\left(-5ab+4b^2+3a^2\right)}

Simplify \bold{-\left(-5ab+4b^2+3a^2\right)}

\bold{5ab-4b^2-3a^2}

Rewrite Equation:

\bold{5a^2+4ab-3b^2+5ab-4b^2-3a^2}

Simplify \bold{5a^2+4ab-3b^2+5ab-4b^2-3a^2}

\bold{2a^2+9ab-7b^2}

- Mordancy

earnstyle [38]3 years ago
3 0

Answer: 2a^2+9ab-7b^2

Step-by-step explanation:

The differenece is obtained by subtracting the polynomial (5a^2+4ab-3b^2) and the polynomial (-5ab+4b^2+3a^2).

Remember that:

(-)(-)=+\\(+)(+)=+\\(-)(+)=-

Then,  you need to Distribute the negative sign:

(5a^2+4ab-3b^2)-(-5ab+4b^2+3a^2)= 5a^2+4ab-3b^2+5ab-4b^2-3a^2

Now, you need to add the like terms. Then you get that the difference is:

=2a^2+9ab-7b^2

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