Simplify-a2-b2-2 a b-a2-b2-2 a b

(a2 + b2 + 2ab) minus; (a2 + b2 minus; 2ab) Here, #39; minus; #39; sign precedes the second parenthesis. So, we will remove it and change the sign ...

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Standard XII

Mathematics

Sequence

Simplify:a2+b...

Question

Simplify:
(a² + b² + 2ab) − (a² + b² −2ab)

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Solution

(a² + b² + 2ab) − (a² + b² − 2ab)
Here, '−' sign precedes the second parenthesis. So, we will remove it and change the sign of each term within the parenthesis.
a² + b² + 2ab − a² − b² +2ab

Rearranging and collecting the like terms:
a² − a² +b² − b² + 2ab + 2ab
=(1 − 1)a² + (1− 1)b² + (2 + 2)ab
=0 + 0 + 4ab
= 4ab

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Similar questions

Q. Evaluate:

\sqrt{\frac{a^{2} + 2 a b + b^{2}}{a^{2} - 2 a b + b^{2}}}

Solve:

(a^{2} + b^{2} +2ab) - (a^{2} + b^{2} - 2ab)

Which of the following is correct?
a) $(a - b)^{2} = a^{2} + 2 a b - b^{2}$
b) $(a - b)^{2} = a^{2} - 2 a b + b^{2}$
c) $(a - b)^{2} = a^{2} - b^{2}$
d) $(a + b)^{2} = a^{2} + 2 a b - b^{2}$

Q. Question 3

Which of the following is correct?
a)

(a - b)^{2} = a^{2} + 2 a b - b^{2}

(a - b)^{2} = a^{2} - 2 a b + b^{2}

(a - b)^{2} = a^{2} - b^{2}

(a + b)^{2} = a^{2} + 2 a b - b^{2}

Find:
$(a + b + c) \times (a + b - c) =$

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Simplify: (a2 + b2 + 2ab) − (a2 + b2 −2ab)

Simplify:
(a² + b² + 2ab) − (a² + b² −2ab)