Advertisements
Advertisements
प्रश्न
Verify the following:
(5x + 8)2 – 160x = (5x – 8)2
Advertisements
उत्तर
Taking L.H.S. = (5x + 8)2 – 160x
= (5x)2 + (8)2 + 2 × 5x × 8 – 160x ...[Using the identity, (a + b)2 = a2 + 2ab + b2]
= (5x)2 + (8)2 + 80x – 160x
= (5x)2 + (8)2 – 80x
= (5x)2 + (8)2 – 2 × 5x × 8
= (5x – 8)2 ...[∵ a2 + b2 – 2ab = (a – b)2]
= R.H.S.
Hence verified.
APPEARS IN
संबंधित प्रश्न
Use a suitable identity to get the following products.
(6x − 7) (6x + 7)
Simplify (2x +5)2 − (2x − 5)2
Using identities, evaluate 78 × 82
Expand: `("p"/3 + "q"/4)^2`
Use a formula to multiply of (2a – 13)(2a + 13)
Factorise the following using suitable identity
y2 + 20y + 100
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
a2x2 + 2abx + b2
The area of a square is given by 4x2 + 12xy + 9y2. Find the side of the square.
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:
- 2x2 + 6x + 4
- x2 + 4x + 4.
Factorise 2x2 + 6x + 4 by using the figure.
Calculate the area of figure.
