Advertisements
Advertisements
प्रश्न
The area of a square is 9x2 + 24xy + 16y2. Find the side of the square.
Advertisements
उत्तर
We have,
Area of a square = 9x2 + 24xy + 16y2
= (3x)2 + 2 × 3x × 4y + (4y)2 ...[∵ a2 + 2ab + b2 = (a + b)2]
= (3x + 4y)2
∴ The side of the square = 3x + 4y ...[∵ Area of square = (side)2]
APPEARS IN
संबंधित प्रश्न
Find the following squares by suing the identities.
`(2/3 m + 3/4 n)^2`
Simplify (4m + 5n)2 + (5m + 4n)2
Using identities, evaluate 78 × 82
Using (x + a) (x + b) = x2 + (a + b) x + ab, find 9.7 × 9.8
Use the formula to find the value.
98 × 102
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
9x2 + 24x + 16
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
9x2 + 30x + 25
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
`x^2/4 + 2x + 4`
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.
