Question
Multiply or divide. Write each answer in lowest terms.$$\frac{2 k^{2}-k-1}{2 k^{2}+5 k+3} \div \frac{4 k^{2}-1}{2 k^{2}+k-3}$$
Step 1
The given expression is: $$ \frac{2 k^{2}-k-1}{2 k^{2}+5 k+3} \div \frac{4 k^{2}-1}{2 k^{2}+k-3} $$ We can factorize this as: $$ \frac{(2k+1)(k-1)}{(2k+3)(k+1)} \div \frac{(2k-1)(2k+1)}{(2k-3)(k+1)} $$ Show more…
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Multiply or divide. Write each answer in lowest terms. $$ \frac{2 k^{2}+3 k-2}{6 k^{2}-7 k+2} \cdot \frac{4 k^{2}-5 k+1}{k^{2}+k-2} $$
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Multiply or divide. Write each answer in lowest terms. See Examples $3,6,$ and 7 . $$\frac{2 k^{2}-k-1}{2 k^{2}+5 k+3} \div \frac{4 k^{2}-1}{2 k^{2}+k-3}$$
Multiply or divide. Write each answer in lowest terms. See Examples $3,6,$ and 7 . $$\frac{2 k^{2}+3 k-2}{6 k^{2}-7 k+2} \cdot \frac{4 k^{2}-5 k+1}{k^{2}+k-2}$$
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