Advertisements
Advertisements
Question
Factorize each of the following algebraic expression:
49 − a2 + 8ab − 16b2
Solution
\[49 - a^2 + 8ab - 16 b^2 \]
\[ = 49 - ( a^2 - 8ab + 16 b^2 )\]
\[ = 49 - [ a^2 - 2 \times a \times 4b + (4b )^2 ]\]
\[ = 7^2 - (a - 4b )^2 \]
\[ = [7 - (a - 4b)][7 + (a - 4b)]\]
\[ = (7 - a + 4b)(7 + a - 4b)\]
\[ = - (a - 4b - 7)(a - 4b + 7)\]
\[ = - (a - 4b + 7)(a - 4b - 7)\]
APPEARS IN
RELATED QUESTIONS
Factorize each of the following algebraic expressions:
a2(x + y) +b2(x + y) +c2(x + y)
Factorize each of the following algebraic expressions:
6(a + 2b) −4(a + 2b)2
Factorize each of the following algebraic expression:
x2 + 2x + 1 − 9y2
Factorize each of the following algebraic expression:
25x2 − 10x + 1 − 36y2
Factorize each of the following algebraic expression:
a2 + 4b2 − 4ab − 4c2
Factorise the following expression and write in the product form.
24a2b2
Factorise the following expression.
p2 − q2
Factorise the following expression.
`"p"^2-1/25`
Factorise the following expression and write them in the product form.
6 ab2.
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 |
