Question

Area of a rectangle field is (a3-b3)2 cm. its length is (a-b) cm. find its breadth​

Answer 1

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Answer 2

Answer:

Given the area of a rectangle is (a^3+b^3)^2 cm.

and it's length is (a-b) cm

we have to find its breadth

we know that length×breadth=area of the rectangle .

so

${ ( {a}^{3} - {b}^{3} )}^{2} = (a - b) \times breadth \: \\ breadth = {( {a}^{3} - {b}^{3}) }^{2} \div (a - b)$

as we know (a-b)^2= a^2-2ab+b^2

so

${( {a}^{3}) }^{2} - 2 {a}^{3} {b}^{3} + {( {b}^{3} )}^{2} \\ {a}^{6} - 2 {a}^{3} {b}^{3} + {b}^{3}$

so

$breadth = \frac{ {a}^{6} - 2 {a}^{3} {b}^{3} + {b}^{3} }{(a - b)}$

hope it helps you ✌️✅✅✅