Advertisements
Advertisements
Question
Factorise the following expressions
x2 + 14x + 49
Sum
Advertisements
Solution
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
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Simplify (m2 − n2m)2 + 2m3n2
Using identities, evaluate (5.2)2
Using (x + a) (x + b) = x2 + (a + b) x + ab, find 5.1 × 5.2
Use an expansion formula to find the value.
(997)2
Use the formula to multiply the following.
(3x − 5) (3x + 5)
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
4x2 + 4x + 1
Factorise the following.
x2 + 9x + 20
Factorise the following.
18 + 11x + x2
The area of a circle is given by the expression πx2 + 6πx + 9π. Find the radius of the circle.
Factorise p4 + q4 + p2q2.
