Advertisements
Advertisements
प्रश्न
Multiply: \[\left( \frac{3}{5}x + \frac{1}{2}y \right) by \left( \frac{5}{6}x + 4y \right)\]
Advertisements
उत्तर
To multiply, we will use distributive law as follows:
\[\left( \frac{3}{5}x + \frac{1}{2}y \right)\left( \frac{5}{6}x + 4y \right)\]
\[ = \frac{3}{5}x\left( \frac{5}{6}x + 4y \right) + \frac{1}{2}y\left( \frac{5}{6}x + 4y \right)\]
\[ = \frac{1}{2} x^2 + \frac{12}{5}xy + \frac{5}{12}xy + 2 y^2 \]
\[ = \frac{1}{2} x^2 + \left( \frac{144 + 25}{60} \right)xy + 2 y^2 \]
\[ = \frac{1}{2} x^2 + \frac{169}{60}xy + 2 y^2\]
Thus, the answer is \[\frac{1}{2} x^2 + \frac{169}{60}xy + 2 y^2\].
APPEARS IN
संबंधित प्रश्न
Express each of the following product as a monomials and verify the result in each case for x = 1:
(5x4) × (x2)3 × (2x)2
Evaluate (2.3a5b2) × (1.2a2b2) when a = 1 and b = 0.5.
Find the following product:
−11a(3a + 2b)
Find the following product:
−5a(7a − 2b)
Find the following product:
0.1y(0.1x5 + 0.1y)
Find the following product: \[\frac{4}{3}a( a^2 + b^2 - 3 c^2 )\]
Find the product 24x2 (1 − 2x) and evaluate its value for x = 3.
Simplify: x2(x2 + 1) − x3(x + 1) − x(x3 − x)
Multiply: \[\left( - \frac{a}{7} + \frac{a^2}{9} \right)by\left( \frac{b}{2} - \frac{b^2}{3} \right)\].
Show that: (3x + 7)2 − 84x = (3x − 7)2
