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

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the total cost of 4 pens and 7 mechanical pencils is $13.25 the cost of each pencil is $0.75 write an equation that could be use

balu736 [363]

4x+7y=$13.25
4x+ 7($0.75)

7 0

3 years ago

Express the following rational number as decimals 615/125

GarryVolchara [31]

Answer:

4.92

Step-by-step explanation:

615 divided by 125 equals to 4.92

4 0

3 years ago