Advertisements
Advertisements
Question
Simplify:
x2(x + 2y) (x − 3y)
Advertisements
Solution
To simplify, we will proceed as follows:
\[x^2 \left( x + 2y \right)\left( x - 3y \right)\]
\[ = \left[ x^2 \left( x + 2y \right) \right]\left( x - 3y \right)\]
\[ = \left( x^3 + 2 x^2 y \right)\left( x - 3y \right)\]
\[ = x^3 \left( x - 3y \right) + 2 x^2 y\left( x - 3y \right)\]
\[ = x^4 - 3 x^3 y + 2 x^3 y - 6 x^2 y^2 \]
\[ = x^4 - x^3 y - 6 x^2 y^2\]
Thus, the answer is \[x^4 - x^3 y - 6 x^2 y^2\].
RELATED QUESTIONS
Find each of the following product:
−3a2 × 4b4
Express each of the following product as a monomials and verify the result in each case for x = 1:
(4x2) × (−3x) × \[\left( \frac{4}{5} x^3 \right)\]
Find the following product:
2a3(3a + 5b)
Find the following product: \[\frac{7}{5} x^2 y\left( \frac{3}{5}x y^2 + \frac{2}{5}x \right)\]
Simplify: 2a2 + 3a(1 − 2a3) + a(a + 1)
Multiply: \[\left( - \frac{a}{7} + \frac{a^2}{9} \right)by\left( \frac{b}{2} - \frac{b^2}{3} \right)\].
Simplify:
(5x − 3)(x + 2) − (2x + 5)(4x − 3)
Simplify : (2x − 1)(2x + 1)(4x2 + 1)(16x4 + 1)
Show that: (3x + 7)2 − 84x = (3x − 7)2
Solve:
(3x + 2y)(7x − 8y)
