Advertisements
Advertisements
Question
Factorize: a2 + b2 + 2 (ab + bc + ca)
Advertisements
Solution
= a2 + b2 + 2ab + 2bc + 2ca
Using identity a2 + b2 + 2ab = (a + b)2
We get,
= (a + b)2 + 2bc + 2ca
= (a + b)2 + 2c (b + a)
or (a + b)2 + 2c (a + b)
Taking (a + b) common
= (a + b)(a + b + 2c )
∴ a2 + b2 + 2 (ab + bc + ca) = (a + b)(a + b + 2c)
APPEARS IN
RELATED QUESTIONS
Get the algebraic expression in the following case using variables, constants and arithmetic operations.
One-fourth of the product of numbers p and q.
Factorize: `a^2 x^2 + (ax^2 + 1)x + a`
`(x/2 + y + z/3)^3 + (x/2 + (2y)/3 + z)^3 + (-(5x)/6 - y/3 - (4z)/3)^3`
Mark the correct alternative in each of the following: The factors of a2 − 1 − 2x − x2 are
If (x + y)3 − (x − y)3 − 6y(x2 − y2) = ky2, then k =
Evaluate: (4m - 2)(m2 + 5m - 6)
Divide: x5 - 15x4 - 10x2 by -5x2
Complete the table.
| × | 2x2 | −2xy | x4y3 | 2xyz | (___)xz2 |
| x4 | |||||
| (___) | 4x5y4 | ||||
| −x2y | |||||
| 2y2z | −10xy2z3 | ||||
| −3xyz | |||||
| (___) | −14xyz2 |
Write the variables, constant and terms of the following expression
7p – 4q + 5
Which of the following statements about polynomials is correct?
