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:

$a^3+b^3=(a+b)(a^2-ab+b^2)$

Take RHS

8+ 27

We can write 8 as $2 \times 2 \times 2 = 2^3$ and 27 as $3 \times 3 \times 3 = 3^3$ .

then;

8+27 = $2^3+3^3$

Now, use the sum of cubes identity;

here a =2 and b = 3

$2^3+3^3 = (2+3)(2^2-2\cdot 3+3^2)$

$2^3+3^3 = (5)(4-6+9)$ $= 5 \cdot 7 = 35$ = LHS proved!

therefore, the Sum of cubes polynomial identity should be used to prove that 35 = 8 +27

4 0

3 years ago

Read 2 more answers

Two paths each 2m wide run across the middle of a rectangular field. If the area of the cross path is 196m and its length is 60m

Naddik [55]

Answer:

d=2m

Area(A)=196m

l=60m

Now,

A=d(l+b-d)

196=2(60+b-2)

196=2(58+b)

196=116+2b

2b=196-116

2b=80

b=40m

5 0

2 years ago

:)))))) ))): what is the answer

kicyunya [14]

Well , its upside down...

4 0

3 years ago

a clothing store has sing has the sign shown is in the shop windoe pani sees the sing and want s to buy 3 shirts

goldfiish [28.3K]

What are we exactly supposed to solve for here

5 0

3 years ago