What is (a-(b^2)/a)(1-b/(a+b)) ?

The solution to (a-(b^2)/a)(1-b/(a+b)) is a-b

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simplify (a-(b^2)/a)(1-b/(a+b))

simplify

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

a - b

Solution steps

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

Join

a - \frac{b ^{2}}{a} : \frac{a ^{2} - b ^{2}}{a}

= \frac{a ^{2} - b ^{2}}{a} (1 - \frac{b}{a + b})

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{( a ^{2} - b ^{2} ) ( 1 - \frac{b}{a + b} )}{a}

Simplify

(a^{2} - b^{2}) (1 - \frac{b}{a + b}) : (a - b) a

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

Cancel the common factor:

a

= a - b

(3 x + 3)^{2}

(tan (x) + sec (x))^{2}

\frac{x ^{2} ( - x ^{2} + 4 )}{2}

2 (3 - 5)

(a x^{2} + b x + c) (d x^{2} + e x + f)