(3+x)(8+x) = (5x+x)^2
Answers
Step-by-step explanation:
−x(x−3)(x+1)
SOLUTION STEPS
−5x−x(x+2)(x−4)
Use the distributive property to multiply x by x+2.
−5x−(x
2
+2x)(x−4)
Apply the distributive property by multiplying each term of x
2
+2x by each term of x−4.
−5x−(x
3
−4x
2
+2x
2
−8x)
Combine −4x
2
and 2x
2
to get −2x
2
.
−5x−(x
3
−2x
2
−8x)
To find the opposite of x
3
−2x
2
−8x, find the opposite of each term.
−5x−x
3
−(−2x
2
)−(−8x)
The opposite of −2x
2
is 2x
2
.
−5x−x
3
+2x
2
−(−8x)
The opposite of −8x is 8x.
−5x−x
3
+2x
2
+8x
Combine −5x and 8x to get 3x.
3x−x
3
+2x
2
EXPAND
3x+2x
2
−x
3−5x−x(x+2)(x−4)
Use the distributive property to multiply x by x+2.
−5x−(x
2
+2x)(x−4)
Apply the distributive property by multiplying each term of x
2
+2x by each term of x−4.
−5x−(x
3
−4x
2
+2x
2
−8x)
Combine −4x
2
and 2x
2
to get −2x
2
.
−5x−(x
3
−2x
2
−8x)
To find the opposite of x
3
−2x
2
−8x, find the opposite of each term.
−5x−x
3
−(−2x
2
)−(−8x)
The opposite of −2x
2
is 2x
2
.
−5x−x
3
+2x
2
−(−8x)
The opposite of −8x is 8x.
−5x−x
3
+2x
2
+8x
Combine −5x and 8x to get 3x.
3x−x
3
+2x
2
GRAPH
QUIZ
Polynomial
−5x−x(x+2)(x−4)