Which expression is equivalent to (x49+6x)(x7−5)+3
?
Responses
x56−5x49+6x8−30x+3
, x to the 56th power minus 5 x to the 49th power plus 6 x to the 8th power minus 30 x plus 3
x56−5x49+6x8−27x
x to the 56th power minus 5 x to the 49th power plus 6 x to the 8th power minus 27 x
x343−5x49+6x7−27x
x to the 343th power minus 5 x to the 49th power plus 6 x to the 7th power minus 27 x
x343−5x49+6x7−30x+3
AAAaannndd the bot gets it wrong yet again!
(x^49+6x)(x^7−5)+3
x^49(x^7-5) + 6x(x^7-5) + 3
x^56 - 5x^49 + 6x^8 - 30x + 3
The expression that is equivalent to (x^49+6x)(x^7−5)+3 is x^343−5x^49+6x^7−30x+3.
To find the expression that is equivalent to (x^49+6x)(x^7−5)+3, we need to simplify the expression.
To simplify, we can distribute the terms within the parentheses.
First, we multiply (x^49+6x) with x^7:
(x^49+6x)(x^7) = x^56+6x^8
Next, we multiply (x^49+6x) with -5:
(x^49+6x)(-5) = -5x^49-30x
Adding the two results from the previous steps, we get:
(x^49+6x)(x^7−5) + 3 = (x^56+6x^8) + (-5x^49-30x) + 3
Combining like terms gives us the final answer:
x^56 - 5x^49 + 6x^8 - 30x + 3
Therefore, the expression that is equivalent to (x^49+6x)(x^7−5)+3 is x^56 - 5x^49 + 6x^8 - 30x + 3.