Step-by-step explanation:
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Algebra Examples
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Algebra
Expand using the Binomial Theorem (3x+2)^4
(3x+2)4(3x+2)4
Use the binomial expansion theorem to find each term. The binomial theorem states (a+b)n=n∑k=0nCk⋅(an−kbk)(a+b)n=∑k=0nnCk⋅(an-kbk).
4∑k=04!(4−k)!k!⋅(3x)4−k⋅(2)k∑k=044!(4-k)!k!⋅(3x)4-k⋅(2)k
Expand the summation.
4!(4−0)!0!⋅(3x)4−0⋅(2)0+4!(4−1)!1!⋅(3x)4−1⋅(2)+4!(4−2)!2!⋅(3x)4−2⋅(2)2+4!(4−3)!3!⋅(3x)4−3⋅(2)3+4!(4−4)!4!⋅(3x)4−4⋅(2)44!(4-0)!0!⋅(3x)4-0⋅(2)0+4!(4-1)!1!⋅(3x)4-1⋅(2)+4!(4-2)!2!⋅(3x)4-2⋅(2)2+4!(4-3)!3!⋅(3x)4-3⋅(2)3+4!(4-4)!4!⋅(3x)4-4⋅(2)4
Simplify the exponents for each term of the expansion.
1⋅(3x)4⋅(2)0+4
Hope this helps!
Answer:
nonproportional
Step-by-step explanation:
nonproportional is what i think
Answer:
b=5m+r/m
Step-by-step explanation:
Let's solve for b.
r=(b−5)(m)
Step 1: Flip the equation.
bm−5m=r
Step 2: Add 5m to both sides.
bm−5m+5m=r+5m
bm=5m+r
Step 3: Divide both sides by m.
bm/m=5m+r/m
b=5m+r/m
Answer:
b=5m+r/m
Answer:
y=-7
Step-by-step explanation:
y-y1=m(x-x1)
y-(-7)=0(x-5)
y+7=0
y=0-7=-7
i am pretty sure it is 0.6
