Using identities, evaluate 992

992 = (100 − 1)2 = (100)2 − 2(100) (1) + (1)2 [(a − b)2 = a2 − 2ab + b2 ] = 10000 − 200 + 1 = 9801

Using Identities, Evaluate 99square2

Using identities, evaluate 99²

99² = (100 − 1)²

= (100)² − 2(100) (1) + (1)² [(a − b)² = a² − 2ab + b² ]

= 10000 − 200 + 1 = 9801

shaalaa.com

Is there an error in this question or solution?

Find the following squares by suing the identities.

(b − 7)²

Find the following squares by suing the identities

(xy + 3z)²

Using identities, evaluate 71²

Use the formula to multiply the following.

(a + 6) (a − 6)

Factors of 9x² + 6xy are

Expand the following square, using suitable identities

(2x + 5)²

If a + b = 10 and ab = 18, find the value of a² + b²

Factorise the following using suitable identity

36m² + 60m + 25

The area of a rectangle is x² + 7x + 12. If its breadth is (x + 3), then find its length.

The area of a circle is given by the expression πx² + 6πx + 9π. Find the radius of the circle.