Advertisements
Advertisements
प्रश्न
Factorize each of the following algebraic expression:
a4 + 3a2 +4
Advertisements
उत्तर
\[a^4 + 3 a^2 + 4\]
\[ = a^4 + 4 a^2 - a^2 + 4\]
\[ = ( a^4 + 4 a^2 + 4) - a^2 \]
\[ = [( a^2 )^2 + 2 \times a^2 \times 2 + 2^2 ] - a^2 \]
\[ = ( a^2 + 2 )^2 - a^2 \]
\[ = [( a^2 + 2) - a][( a^2 + 2) + a]\]
\[ = ( a^2 - a + 2)(( a^2 + a + 2)\]
APPEARS IN
संबंधित प्रश्न
Factorize each of the following algebraic expressions:
7a(2x − 3) + 3b(2x − 3)
Factorize each of the following algebraic expressions:
x3(a − 2b) + x2(a − 2b)
Factorize each of the following algebraic expression:
9a2 − 24ab + 16b2
Factorize each of the following algebraic expression:
a2 − 2ab + b2 − c2
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:
a2 + 4b2 − 4ab − 4c2
Factorize each of the following algebraic expression:
x2 − y2 − 4xz + 4z2
Factorize each of the following algebraic expression:
x2 + 14x + 45
Factorize each of the following algebraic expression:
x2 − 11x − 42
