Multiply and simplify. Assume that all variables represent positive real numbers.
-$( 7 \sqrt { x } + 10 ) ( \sqrt { x } - 9 )$
A) $7 x - 53 \sqrt { x } - 90$
B) $7 x + 53 \sqrt { x } - 90$
C) $7 x - 53 \sqrt { x } + 90$
D) $7 x + 73 \sqrt { x } - 90$

Question

Quizplus · Accepted Answer

To multiply and simplify the given expression $( 7 \sqrt { x } + 10 ) ( \sqrt { x } - 9 )$, we use the distributive property (FOIL method):- First, multiply $7\sqrt{x}$ by $\sqrt{x}$ to get $7x$.- Outer, multiply $7\sqrt{x}$ by $-9$ to get $-63\sqrt{x}$.- Inner, multiply $10$ by $\sqrt{x}$ to get $10\sqrt{x}$.- Last, multiply $10$ by $-9$ to get $-90$.Adding these results together: $7x - 63\sqrt{x} + 10\sqrt{x} - 90$, which simplifies to $7x - 53\sqrt{x} - 90$.

Multiply and Simplify (7x+10)(x−9)( 7 \sqrt { x } + 10 ) ( \sqrt { x } - 9 )(7x​+10)(x​−9)

Multiply and Simplify $( 7 \sqrt { x } + 10 ) ( \sqrt { x } - 9 )$