Advertisements
Advertisements
Question
Simplify : (x − y)(x + y) (x2 + y2)(x4 + y2)
Advertisements
Solution
To simplify, we will proceed as follows:
\[ \left( x - y \right)\left( x + y \right)\left( x^2 + y^2 \right)\left( x^4 + y^4 \right)\]
\[ = \left( x^2 - y^2 \right)\left( x^2 + y^2 \right)\left( x^4 + y^4 \right) \left[ \because\left( a + b \right)\left( a - b \right) = a^2 - b^2 \right]\]
\[ = \left( x^4 - y^4 \right)\left( x^4 + y^4 \right) \left[ \because \left( a + b \right)\left( a - b \right) = a^2 - b^2 \right]\]
\[ = x^8 - x^8 \left[ \because \left( a + b \right)\left( a - b \right) = a^2 - b^2 \right]\]
APPEARS IN
RELATED QUESTIONS
Find each of the following product:
\[\left( - \frac{1}{27} a^2 b^2 \right) \times \left( \frac{9}{2} a^3 b^2 c^2 \right)\]
Find each of the following product:
(2.3xy) × (0.1x) × (0.16)
Simplify: x2(x2 + 1) − x3(x + 1) − x(x3 − x)
Multiply:
(2x + 8) by (x − 3)
Multiply:
(x6 − y6) by (x2 + y2)
Multiply:
(0.8a − 0.5b) by (1.5a − 3b)
Multiply: \[\left( - \frac{a}{7} + \frac{a^2}{9} \right)by\left( \frac{b}{2} - \frac{b^2}{3} \right)\].
Find the following product and verify the result for x = − 1, y = − 2: \[\left( \frac{1}{3}x - \frac{y^2}{5} \right)\left( \frac{1}{3}x + \frac{y^2}{5} \right)\]
Simplify : (2x − 1)(2x + 1)(4x2 + 1)(16x4 + 1)
Solve:
(3x + 2y)(7x − 8y)
