MATHEMATICS · Multi-part · CBSE · Mathematics · We Distribute, Yet Things Multiply · We Distribute, Yet Things Multiply
Problem
A square playground has side (a+b) metres. Another square playground has side (a−b) metres, where a>b>0.
(i) Find, in simplest polynomial form, the difference between the areas of the two playgrounds.
(ii) If a=7 m and b=3 m, calculate the numeric value of the difference in areas.
(iii) Explain why your algebraic result in part (i) could also have been obtained without first finding each individual area.