Advertisements
Advertisements
Question
Factorize each of the following expressions:
p2q − pr2 − pq + r2
Solution
\[p^2 q - p r^2 - pq + r^2 \]
\[ = ( p^2 q - pq) + ( r^2 - p r^2 ) [\text{ Grouping the expressions }]\]
\[ = pq(p - 1) + r^2 (1 - p)\]
\[ = pq(p - 1) - r^2 (p - 1) [ \because (1 - p) = - (p - 1)]\]
\[ = (pq - r^2 )(p - 1) [\text{ Taking }(p - 1)\text{ as the common factor }]\]
APPEARS IN
RELATED QUESTIONS
Factorize each of the following algebraic expressions:
x3(a − 2b) + x2(a − 2b)
Factorize each of the following algebraic expression:
9a4 − 24a2b2 + 16b4 − 256
Factorize each of the following algebraic expression:
a2 + 2ab + b2 − c2
Factorize each of the following algebraic expression:
x2 + 12x − 45
Factorize each of the following algebraic expression:
x2 + 14x + 45
Factorize each of the following algebraic expression:
x2 − 22x + 120
Factorize each of the following algebraic expression:
a2 + 14a + 48
Factorise the following expression.
`"x"^2-1/"x"^2`
Match the following :
| Column A | Column B |
| (a) `x/2` = 10 | (i) x = 4 |
| (b) 20 = 6x − 4 | (ii) x = 1 |
| (c) 2x − 5 = 3 − x | (iii) x = 20 |
| (d) 7x − 4 − 8x = 20 | (iv) x = `8/3` |
| (e) `4/11 - x = (-7)/11` | (v) x = −24 |
