Advertisements
Advertisements
Question
Factorize `x^2 + 12/35 x + 1/35`
Advertisements
Solution
Splitting the middle term,
`= x^2 + 5/35 x + 7/35 x + 1/35` `[∵ 12/35 = 5/35 + 7/35 and 5/35 xx 7/35 = 1/35]`
`= x^2 + x/7 + x/5 + 1/35`
`= x(x + 1/7)+ 1/5(x + 1/7)`
`= (x + 1/7)(x + 1/5)`
`∴ x^2 + 12/35 x + 1/35 = (x + 1/7)(x + 1/5)`
APPEARS IN
RELATED QUESTIONS
Get the algebraic expression in the following case using variables, constants and arithmetic operations.
The number z multiplied by itself.
Factorize `x^2 + 2sqrt3x - 24`
Factorize x3 -12x ( x - 4) - 64
If x − y = 7 and xy = 9, find the value of x2 + y2
If a + b + c = 9 and ab + bc + ca = 40, find a2 + b2 +c2.
Mark the correct alternative in each of the following: The factors of a2 − 1 − 2x − x2 are
Evaluate: (6p2 - 8pq + 2q2) (- 5p)
Divide: 8x + 24 by 4
Construct a formula for the following:
Total wages (₹ W) of a man whose basic wage is (₹ B) for t hours week plus (₹ R) per hour, if he Works a total of T hours.
What type of algebraic expression is 2x−4y²?
