Advertisements
Advertisements
प्रश्न
Factorize each of the following algebraic expression:
4x4 + 1
Advertisements
उत्तर
\[4 x^4 + 1\]
\[ = 4 x^4 + 4 x^2 + 1 - 4 x^2 \]
\[ = [(2 x^2 )^2 + 2 \times 2 x^2 \times 1 + 1] - 4 x^2 \]
\[ = (2 x^2 + 1 )^2 - (2x )^2 \]
\[ = [(2 x^2 + 1) - 2x][(2 x^2 + 1) + 2x]\]
\[ = (2 x^2 - 2x + 1)(2 x^2 + 2x + 1)\]
APPEARS IN
संबंधित प्रश्न
Factorize each of the following algebraic expressions:
2r(y − x) + s(x − y)
Factorize each of the following algebraic expressions:
5(x − 2y)2 + 3(x − 2y)
Factorize each of the following expressions:
qr − pr + qs − ps
Factorize each of the following algebraic expression:
a4 + 3a2 +4
Factorize each of the following algebraic expressions:
x2 + 9y2 − 6xy − 25a2
Factorize each of the following algebraic expression:
49 − a2 + 8ab − 16b2
Factorise the following expression.
y2 − 4
Factorise the following expression.
`"p"^2-1/25`
Factorise the following expression.
2x2 − 8y2
The value of m in the equation 8m = 56 is ________
