Answer:
Yes, the distributive property can be used to rewrite 7x(10-3).
7x(10-3) = 70x - 21x
The most simplified form is 49x.
Explanation:
You can use the distributive property when you are multiplying (a) number(s) by a group of numbers closed into brackets ( ).
"10-3" is enclosed in brackets, so you can distribute the "7x" (which is outside of the brackets) to each of the numbers inside the brackets.
The two numbers inside the brackets:
10 (positive ten)
-3 (negative three)
The number outside the brackets:
7x (positive seven times 'x')
Multiply the number outside with each number inside:
(7x)(10) = 70x
(7x)(-3) = -21x
Add them together.
(70x) + (-21x) Plus and minus sign makes one minus sign.
= 70x - 21x Distributed
= 49x Further simplified by collecting like terms