Question

If ab=5 then (a+b)/\2-(a-b) /\2=

Answer 1

Answer:

20

Step-by-step explanation:

Given---> ab=5

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To find---> (a+b)²-(a-b)²=?

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Solution---> We know that

------------- (a+b)²=a²+b²+2ab ----------(1)

(a-b)²=a²+b²-2ab ------------(2)

Subtracting (1) and (2)

(a+b)²-(a-b)²=a²+b²+2ab -(a²+b²-2ab)

=a²+b²+2ab-a²-b²+2ab

a²,b² and -a² , -b² cancel out each other

(a+b)²-(a-b)²= 4ab

=4(5)

=20

Additional information--->

------------------------------------

1)(a+b+c)²=a²+b²+c²+2ab+2bc+2ca

2)(a+b)³=a³+b³+3ab(a+b)

3)(a-b)³=a³-b³-3ab(a-b)

4)a²-b²=(a+b)(a-b)

5)a³+b³=(a+b)(a²+b²-ab)

6)a³-b³=(a-b)(a²+b²+ab)

Answer 2

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20

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