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प्रश्न
Find the following product:
−5a(7a − 2b)
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उत्तर
To find the product, we will use distributive law as follows:
\[- 5a\left( 7a - 2b \right)\]
\[ = \left( - 5a \right) \times 7a + \left( - 5a \right) \times \left( - 2b \right)\]
\[ = \left( - 5 \times 7 \right) \times \left( a \times a \right) + \left( - 5 \times \left( - 2 \right) \right) \times \left( a \times b \right)\]
\[ = \left( - 35 \right) \times \left( a^{1 + 1} \right) + \left( 10 \right) \times \left( a \times b \right)\]
\[ = - 35 a^2 + 10ab\]
Thus, the answer is \[- 35 a^2 + 10ab\].
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