Advertisements
Advertisements
प्रश्न
Factorise the following expressions
x2 + 14x + 49
उत्तर
x2 + 14x + 49 = x2 + 14x + 72
Comparing with a2 + 2ab + b2 = (a + b)2 we have a = x and b = 7
⇒ x2 + 2(x)(7) + 72 = (x + 7)2
∴ x2 + 14x + 49 = (x + 7)2
APPEARS IN
संबंधित प्रश्न
Use a suitable identity to get the following products.
(2y + 5) (2y + 5)
Find the following squares by suing the identities.
(6x2 − 5y)2
Using identities, evaluate 1022
Use a formula to multiply of (2t – 5)(2t + 5)
Factors of 9x2 + 6xy are
(a + b)2 – 2ab = ______ + ______.
The difference of the squares of two consecutive numbers is their sum.
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
a2x2 + 2abxy + b2y2
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
2x3 + 24x2 + 72x
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.
