Advertisements
Advertisements
प्रश्न
Factorize each of the following algebraic expression:
16 − a6 + 4a3b3 − 4b6
उत्तर
\[16 - a^6 + 4 a^3 b^3 - 4 b^6 \]
\[ = 16 - ( a^6 - 4 a^3 b^3 + 4 b^6 )\]
\[ = 4^2 - [( a^3 )^2 - 2 \times a^3 \times 2 b^3 + (2 b^3 )^2 ]\]
\[ = 4^2 - ( a^3 - 2 b^3 )^2 \]
\[ = [4 - ( a^3 - 2 b^3 )][4 + ( a^3 - 2 b^3 )]\]
\[ = (4 - a^3 + 2 b^3 )(4 + a^3 - 2 b^3 )\]
\[ = ( a^3 - 2 b^3 + 4)( - a^3 + 2 b^3 + 4)\]
APPEARS IN
संबंधित प्रश्न
Factorize each of the following algebraic expressions:
9a(6a − 5b) −12a2(6a − 5b)
Factorize each of the following algebraic expressions:
5(x − 2y)2 + 3(x − 2y)
Factorize each of the following algebraic expressions:
16(2l − 3m)2 −12(3m − 2l)
Factorize each of the following algebraic expression:
a4 + 3a2 +4
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 − 22x + 120
Factorise the following expression.
y2 − 4
Factorise the following expression.
a2b− ab
Factorise the following expression.
`1/2"y"^2-8"z"^2`
