Question

if a-b varies directly with a+b then a²-b² will vary with?​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

$a^2-b^2$ will vary with $(a+b)^2$.

Step-by-step explanation:

Given : If a-b varies directly with a+b.

To find : a²-b² will vary with?​

Solution :

If a-b varies directly with a+b.

i.e. $(a-b)\propto (a+b)$

$(a-b)=k (a+b)$

where, k is the constant of proportionality

Multiply (a+b) both side,

$(a-b)(a+b)=k(a+b)(a+b)$

Using algebraic identity, $(a-b)(a+b)=a^2-b^2$

$a^2-b^2=k(a+b)^2$

or $a^2-b^2\propto (a+b)^2$

Therefore, $a^2-b^2$ will vary with $(a+b)^2$.

#Learn more

A varies directly as b square.if b=2,a=8,find a if b=5

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