Advertisements
Advertisements
Question
Factorize each of the following algebraic expression:
a4 + 3a2 +4
Advertisements
Solution
\[a^4 + 3 a^2 + 4\]
\[ = a^4 + 4 a^2 - a^2 + 4\]
\[ = ( a^4 + 4 a^2 + 4) - a^2 \]
\[ = [( a^2 )^2 + 2 \times a^2 \times 2 + 2^2 ] - a^2 \]
\[ = ( a^2 + 2 )^2 - a^2 \]
\[ = [( a^2 + 2) - a][( a^2 + 2) + a]\]
\[ = ( a^2 - a + 2)(( a^2 + a + 2)\]
RELATED QUESTIONS
Factorize each of the following algebraic expressions:
(x − y)2 + (x − y)
Factorize each of the following algebraic expressions:
(2x − 3y)(a + b) + (3x − 2y)(a + b)
Factorize each of the following algebraic expression:
4x4 + 1
Factorize each of the following algebraic expression:
25 − p2 − q2 − 2pq
Factorize each of the following algebraic expression:
49 − a2 + 8ab − 16b2
Factorize each of the following algebraic expression:
49 − x2 − y2 + 2xy
Factorize each of the following algebraic expression:
40 + 3x − x2
Factorize each of the following algebraic expression:
(a2 − 5a)2 − 36
Factorise the following expressions and write them in the product form.
5t2
The value of m in the equation 8m = 56 is ________
