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प्रश्न
Multiply: \[\left( - \frac{a}{7} + \frac{a^2}{9} \right)by\left( \frac{b}{2} - \frac{b^2}{3} \right)\].
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उत्तर
To multiply, we will use distributive law as follows:
\[\left( - \frac{a}{7} + \frac{a^2}{9} \right)\left( \frac{b}{2} - \frac{b^2}{3} \right)\]
\[ = \left( - \frac{a}{7} \right)\left( \frac{b}{2} - \frac{b^2}{3} \right) + \left( \frac{a^2}{9} \right)\left( \frac{b}{2} - \frac{b^2}{3} \right)\]
\[ = \left( - \frac{ab}{14} + \frac{a b^2}{21} \right) + \left( \frac{a^2 b}{18} - \frac{a^2 b^2}{27} \right)\]
\[ = - \frac{ab}{14} + \frac{a b^2}{21} + \frac{a^2 b}{18} - \frac{a^2 b^2}{27}\]
Thus, the answer is \[- \frac{ab}{14} + \frac{a b^2}{21} + \frac{a^2 b}{18} - \frac{a^2 b^2}{27}\].
संबंधित प्रश्न
Find each of the following product: \[\left( \frac{7}{9}a b^2 \right) \times \left( \frac{15}{7}a c^2 b \right) \times \left( - \frac{3}{5} a^2 c \right)\]
Find the following product:
−5a(7a − 2b)
Find the following product: \[\left( - \frac{7}{4}a b^2 c - \frac{6}{25} a^2 c^2 \right)( - 50 a^2 b^2 c^2 )\]
Find the following product: \[- \frac{4}{27}xyz\left( \frac{9}{2} x^2 yz - \frac{3}{4}xy z^2 \right)\]
Simplify: 2a2 + 3a(1 − 2a3) + a(a + 1)
Simplify: a2(2a − 1) + 3a + a3 − 8
Multiply:
(3x2 + y2) by (2x2 + 3y2)
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:
(5 − x)(6 − 5x)( 2 − x)
Show that: (3x + 7)2 − 84x = (3x − 7)2
