Advertisements
Advertisements
Question
Factorize each of the following algebraic expression:
4x2 + 12xy +9y2
Solution
\[4 x^2 + 12xy + 9 y^2 \]
\[ = (2x )^2 + 2 \times 2x \times 3y + (3y )^2 \]
\[ = (2x + 3y )^2 \]
\[ = (2x + 3y)(2x + 3y)\]
APPEARS IN
RELATED QUESTIONS
Find the greatest common factor of the terms in each of the following expression:
5a4 + 10a3 − 15a2
Factorize each of the following algebraic expressions:
6(a + 2b) −4(a + 2b)2
Factorize each of the following algebraic expressions:
a(x − y) + 2b(y − x) + c(x − y)2
Factorize each of the following algebraic expressions:
x3(a − 2b) + x2(a − 2b)
Factorize each of the following algebraic expression:
96 − 4x − x2
Factorize each of the following algebraic expression:
4x4 + 1
Factorize each of the following algebraic expression:
49 − x2 − y2 + 2xy
Factorize each of the following algebraic expression:
a2 − 14a − 51
Factorize each of the following algebraic expression:
x2 − 11x − 42
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 |
