a-b varies directly with a+b, a^2-b^2 will vary directly with

Question

Answer 1

$$a^2 - b^2 = (a+b)(a-b)$$ Since a-b varies directly with a+b, let a-b = k(a+b)
So, $$a^2 - b^2 = (a+b)k(a+b) = k(a+b)^2$$
So, it varies directly with $$(a+b)^2$$

Answer 2

$$a^2 - b^2 = (a+b)(a-b)$$ Since a-b varies directly with a+b, let a-b = k(a+b)
So, $$a^2 - b^2 = (a+b)k(a+b) = k(a+b)^2$$
So, it varies directly with $$(a+b)^2$$

Answer 3

(a+b)^2

Answer 4

(a+b)^2

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a-b varies directly with a+b, a^2-b^2 will vary directly with