Multiply the polynomials by using the distributive property. $$( - 2 r - 3 s + 6 t ) ( - 5 r - 2 s + 7 t )$$
A) $10 r ^ { 2 } + 19 r s - 44 r t - 33 s t + 42 t ^ { 2 }$
B) $10 r ^ { 2 } - 5 s + 42 t ^ { 2 }$
C) $10 r ^ { 2 } + 19 r s - 44 r t + 6 s ^ { 2 } - 33 s t + 42 t ^ { 2 }$
D) $- 7 r ^ { 2 } + 19 r s - 44 r t - 5 s ^ { 2 } - 33 s t + 13 t ^ { 2 }$

Question

Quizplus · Accepted Answer

To multiply the given polynomials, each term in the first polynomial is multiplied by each term in the second polynomial and then the products are added together. This results in $10r^2 + 19rs - 44rt + 6s^2 - 33st + 42t^2$, which matches option C.

Multiply the Polynomials by Using the Distributive Property (−2r−3s+6t)(−5r−2s+7t)( - 2 r - 3 s + 6 t ) ( - 5 r - 2 s + 7 t )(−2r−3s+6t)(−5r−2s+7t)

Multiply the Polynomials by Using the Distributive Property $( - 2 r - 3 s + 6 t ) ( - 5 r - 2 s + 7 t )$