equivalent to the product of first and reciprocal of the second expression. If the resulting expression is not in its lowest form then reduce to its lowest form. Progress Check Find the unknown expression in the following figures. .
. Example . (i) Multiply x by (ii) Multiply x b by x a b Solution (i) x ´ x y (ii) x b a b − × a b Example . Find (i) √ (ii) x ÷ (iii) ÷ ÷ Area=?
( x > y ) base = ( x + y )( x + y ) m altitude = ( m length = x - km Area = km breadth = ? Fig. . Fig.
. ÷ Algebra Solution : (i) √ x = (ii) x ÷ = (iii) ÷ Exercise . . Simplify (i) xz ´ (ii) p (iii) t t t t .
Simplify (i) x (ii) xy xy . Simplify (i) ÷ (ii) b ÷ (iii) x ÷ (iv) t t t t t t t ÷ . If x and y find the value of x y - . .
If a polynomial p x ( ) = is divided by another polynomial q x ( ) we get , find q x ( ) . Activity (i) The length of a rectangular garden is the sum of a number and its reciprocal. The breadth is the difference of the square of the same number and its reciprocal. Find the length, breadth and the ratio of the length to the breadth of the rectangle.
(ii) Find the ratio of the perimeter to the area of the given triangle. ÷ x x x x x