Advertisements
Advertisements
Question
Simplify : (x − y)(x + y) (x2 + y2)(x4 + y2)
Advertisements
Solution
To simplify, we will proceed as follows:
\[ \left( x - y \right)\left( x + y \right)\left( x^2 + y^2 \right)\left( x^4 + y^4 \right)\]
\[ = \left( x^2 - y^2 \right)\left( x^2 + y^2 \right)\left( x^4 + y^4 \right) \left[ \because\left( a + b \right)\left( a - b \right) = a^2 - b^2 \right]\]
\[ = \left( x^4 - y^4 \right)\left( x^4 + y^4 \right) \left[ \because \left( a + b \right)\left( a - b \right) = a^2 - b^2 \right]\]
\[ = x^8 - x^8 \left[ \because \left( a + b \right)\left( a - b \right) = a^2 - b^2 \right]\]
RELATED QUESTIONS
Find each of the following product:
\[\frac{1}{4}xy \times \frac{2}{3} x^2 y z^2\]
Find the following product: \[\frac{4}{3}a( a^2 + b^2 - 3 c^2 )\]
Simplify: a(b − c) − b(c − a) − c(a − b)
Simplify: a2(2a − 1) + 3a + a3 − 8
Multiply:
(5x + 3) by (7x + 2)
Multiply:
(7x + y) by (x + 5y)
Multiply:
(3x2y − 5xy2) by \[\left( \frac{1}{5} x^2 + \frac{1}{3} y^2 \right)\].
Simplify:
(x3 − 2x2 + 5x − 7)(2x − 3)
Simplify:
(2x2 + 3x − 5)(3x2 − 5x + 4)
What is the product of 3x and 4x²?
