Advertisements
Advertisements
Question
Factorize each of the following algebraic expression:
16 − a6 + 4a3b3 − 4b6
Advertisements
Solution
\[16 - a^6 + 4 a^3 b^3 - 4 b^6 \]
\[ = 16 - ( a^6 - 4 a^3 b^3 + 4 b^6 )\]
\[ = 4^2 - [( a^3 )^2 - 2 \times a^3 \times 2 b^3 + (2 b^3 )^2 ]\]
\[ = 4^2 - ( a^3 - 2 b^3 )^2 \]
\[ = [4 - ( a^3 - 2 b^3 )][4 + ( a^3 - 2 b^3 )]\]
\[ = (4 - a^3 + 2 b^3 )(4 + a^3 - 2 b^3 )\]
\[ = ( a^3 - 2 b^3 + 4)( - a^3 + 2 b^3 + 4)\]
RELATED QUESTIONS
Factorize each of the following algebraic expressions:
16(2l − 3m)2 −12(3m − 2l)
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 expression:
36a2 + 36a + 9
Factorize each of the following algebraic expression:
x2 + 2x + 1 − 9y2
Factorize each of the following algebraic expression:
4x4 + y4
Factorize each of the following algebraic expression:
25x2 − 10x + 1 − 36y2
Factorise the following expression.
4x2 − 25y2
Factorise the following expression.
`9"x"^2-1/16"y"^2`
Factorise the following expression.
4x2y − 6x2
