Use the identity a3+b3=(a+b)3−3ab(a+b) to determine the sum of the cubes of two numbers if the sum of the two numbers is 4 and the product of the two numbers is 1.

enter your answer as a number, like this: 42

= 52

Step-by-step explanation:

Using the equation;

a3+b3=(a+b)3−3ab(a+b)

The sum, a+b =4

The product, ab = 1

Therefore;

a3+b3=4³−3(1)(4)

         = 64-12

          = 52

a³+b³ = 52

Step-by-step explanation:

We have given that

The sum of two numbers is 4.

The product of two numbers is 1.

a+b = 4

ab= 1

We have to find the sum of the cubes of two numbers.

a³+b³ = ?

Using given identity, we have

a³+b³ = (a+b)³-3ab(a+b)

Putting given values in formula, we have

a³+b³ = (4)³-3(1)(4)

a³+b³ = 64-12

a³+b³ = 52 which is the answer.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.