Answer:
Sum of cubes identity should be used to prove 35 =3+27
Step-by-step explanation:
Prove that : 35 = 8 +27
Polynomial identities are just equations that are true, but identities are particularly useful for showing the relationship between two apparently unrelated expressions.
Sum of the cubes identity:
Take RHS
8+ 27
We can write 8 as 
and 27 as 
.
then;
8+27 = 
Now, use the sum of cubes identity;
here a =2 and b = 3
or
= LHS proved!
therefore, the Sum of cubes polynomial identity should be used to prove that 35 = 8 +27
Answer: gymnastics 35
music 21
swimming 36
Step-by-step explanation:
gymnastics 35=20+9+6
music 21=8+7+6
swimming 36=20+9+7
Answer: -1 and 5.
Step-by-step explanation:
x - 4x = 5 : Move the constant to the left.
x^2 - 4x - 5 = 0 : Rewrite the expression.
x^2 + x - 5x - 5 = 0 : Factor the expressions.
x(x+1) - 5(x+1) = 0 : Factor the expression.
(x+1)(x-5) = 0 : Seperate into possible cases.
x + 1 = 0, x - 5 = 0 : Solve the equations.
x = -1, x = 5 : The equation has 2 solutions.
<u>Answer</u>
1st solution: a = 1
b = 3
2nd solution: a = 2
b = 6
<u>Explanation</u>
1st solution
<em> 1</em>
<em> 333</em>
<em> 333</em>
<em> 333</em>
<em> </em><em><u> +333</u></em>
<em> </em><em><u> 1333</u></em>
2nd solution
<em> 2</em>
<em> 666</em>
<em> 666</em>
<em> 666</em>
<em><u> + 666</u></em>
<em><u> 2666</u></em>
