Advertisements
Advertisements
Question
Using (x + a) (x + b) = x2 + (a + b) x + ab, find 9.7 × 9.8
Advertisements
Solution
9.7 × 9.8 = (10 − 0.3) (10 − 0.2)
= (10)2 + [(− 0.3) + (− 0.2)] (10) + (− 0.3) (− 0.2)
= 100 + (− 0.5)10 + 0.06 = 100.06 − 5 = 95.06
RELATED QUESTIONS
Use a suitable identity to get the following products.
(6x − 7) (6x + 7)
Simplify (ab + bc)2 − 2ab2c
Using identities, evaluate 1.05 × 9.5
Using a2 − b2 = (a + b) (a − b), find 12.12 − 7.92
Use an expansion formula to find the value.
(102)2
Use the formula to multiply the following.
(x + y) (x − y)
Use the formula to find the value.
98 × 102
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
`9x^2 + 2xy + y^2/9`
The area of a circle is given by the expression πx2 + 6πx + 9π. Find the radius of the circle.
Take suitable number of cards given in the adjoining diagram [G(x × x) representing x2, R(x × 1) representing x and Y(1 × 1) representing 1] to factorise the following expressions, by arranging the cards in the form of rectangles: x2 + 4x + 4. Factorise 2x2 + 6x + 4 by using the figure.

Calculate the area of figure.
