Simplify a - b - a - a - b - bA- None of the aboveB- a2-2 a b-b2-a bC- a2-2 a b-b-a-bD- a2-2 a b-b2-3 a b

The correct option is B a^2+2ab b^2/ab a b/a + a+b/b == b(a b)+a(a+b)/ab = ab b^2+a^2+ab/ab = a^2+2ab b^2/ab ...

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Byju's Answer

Standard VIII

Mathematics

Factors of a³ - b³

Simplify a - ...

Question

Simplify $\frac{a - b}{a} + \frac{a + b}{b}$

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

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

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$\frac{a^{2} + 2 a b - b^{2}}{3 a b}$

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None of the above

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Solution

The correct option is A
$\frac{a^{2} + 2 a b - b^{2}}{a b}$

$\frac{a - b}{a} + \frac{a + b}{b}$

== $\frac{b (a - b) + a (a + b)}{a b}$

= $\frac{a b - b^{2} + a^{2} + a b}{a b}$

= $\frac{a^{2} + 2 a b - b^{2}}{a b}$

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Similar questions

Which of the following identity is not applicable to simplify ${(4 x + 5 y)}^{2} - {(5 x + 4 y)}^{2}$ ?

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

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

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

then factor of

1 + 2 a b - (a^{2} + b^{2})

are

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

. Then factors of

1 + 2 a b - (a^{2} + b^{2})

are

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Simplify a−ba + a+bb

The correct option is A a2+2ab−b2ab a−ba + a+bb == b(a−b)+a(a+b)ab = ab−b2+a2+abab = a2+2ab−b2ab

Simplify $\frac{a - b}{a} + \frac{a + b}{b}$

The correct option is A
$\frac{a^{2} + 2 a b - b^{2}}{a b}$

$\frac{a - b}{a} + \frac{a + b}{b}$

== $\frac{b (a - b) + a (a + b)}{a b}$

= $\frac{a b - b^{2} + a^{2} + a b}{a b}$

= $\frac{a^{2} + 2 a b - b^{2}}{a b}$