Advertisements
Advertisements
Question
Find the following product:
4.1xy(1.1x − y)
Advertisements
Solution
To find the product, we will use distributive law as follows:
\[4 . 1xy\left( 1 . 1x - y \right)\]
\[ = \left( 4 . 1xy \times 1 . 1x \right) - \left( 4 . 1xy \times y \right)\]
\[ = \left\{ \left( 4 . 1 \times 1 . 1 \right) \times xy \times x \right\} - \left( 4 . 1xy \times y \right)\]
\[ = \left( 4 . 51 x^{1 + 1} y \right) - \left( 4 . 1x y^{1 + 1} \right)\]
\[ = 4 . 51 x^2 y - 4 . 1x y^2\]
Thus, the answer is \[4 . 51 x^2 y - 4 . 1x y^2\].
APPEARS IN
RELATED QUESTIONS
Find each of the following product: \[\left( \frac{4}{3}p q^2 \right) \times \left( - \frac{1}{4} p^2 r \right) \times \left( 16 p^2 q^2 r^2 \right)\]
Evaluate each of the following when x = 2, y = −1.
\[\left( \frac{3}{5} x^2 y \right) \times \left( - \frac{15}{4}x y^2 \right) \times \left( \frac{7}{9} x^2 y^2 \right)\]
Simplify: 2a2 + 3a(1 − 2a3) + a(a + 1)
Simplify: \[\frac{3}{2} x^2 ( x^2 - 1) + \frac{1}{4} x^2 ( x^2 + x) - \frac{3}{4}x( x^3 - 1)\]
Simplify: a2b(a3 − a + 1) − ab(a4 − 2a2 + 2a) − b (a3 − a2 − 1)
Multiply:
(2x2y2 − 5xy2) by (x2 − y2)
Simplify:
x2(x + 2y) (x − 3y)
Simplify:
(x3 − 2x2 + 3x − 4) (x −1) − (2x − 3)(x2 − x + 1)
Show that: (a − b)(a + b) + (b − c)(b + c) + (c − a)( c + a) = 0
Solve:
(3x + 2y)(7x − 8y)
