QUESTION \( 7 \cdot 1 \) POINT Multiply: \( \frac{6 d+60}{11 d+121} \cdot \frac{d^{2}+15 d+44}{d^{2}+17 d+70} \)

Calculate or simplify the expression \( (6d+60)/(11d+121) * (d^2+15d+44)/(d^2+17d+70) \). Simplify the expression by following steps: - step0: Solution: \(\frac{\frac{\left(6d+60\right)}{\left(11d+121\right)}\times \left(d^{2}+15d+44\right)}{\left(d^{2}+17d+70\right)}\) - step1: Remove the parentheses: \(\frac{\frac{6d+60}{11d+121}\times \left(d^{2}+15d+44\right)}{d^{2}+17d+70}\) - step2: Multiply the terms: \(\frac{\frac{\left(6d+60\right)\left(d+4\right)}{11}}{d^{2}+17d+70}\) - step3: Multiply by the reciprocal: \(\frac{\left(6d+60\right)\left(d+4\right)}{11}\times \frac{1}{d^{2}+17d+70}\) - step4: Rewrite the expression: \(\frac{6\left(d+10\right)\left(d+4\right)}{11}\times \frac{1}{\left(d+10\right)\left(d+7\right)}\) - step5: Reduce the fraction: \(\frac{6\left(d+4\right)}{11}\times \frac{1}{d+7}\) - step6: Multiply the terms: \(\frac{6\left(d+4\right)}{11\left(d+7\right)}\) - step7: Simplify: \(\frac{6d+24}{11\left(d+7\right)}\) - step8: Simplify: \(\frac{6d+24}{11d+77}\) The result of multiplying the given expressions is \( \frac{6d+24}{11d+77} \).