# Factor the expression given below. Write each factor as a polynomial indescending order.4²-1

Factor the expression given below. Write each factor as a polynomial in descending order.
4²-1

$Factor the expression given below. Write each factor as a polynomial in descending order. 4²-1$

## This Post Has 12 Comments

1. calhountoiyonou0gjb says:

(7x + 6y)(49x² - 42xy + 36y²)

Step-by-step explanation:

2. jasozhan says:

There is no common factors in the term $125x^2+343y^3$ so, the factors are: $125x^2+343y^3$

Step-by-step explanation:

We need to factor the expression: $125x^2+343y^3$

We need to find the factors, which are the common terms in the given expression.

Since there is no common factors in the term $125x^2+343y^3$ so, the factors are: $125x^2+343y^3$

Keywords: Factors of expression

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3. brea2006 says:

(5x + 6y)(25x² - 30xy + 36y²)

Step-by-step explanation:

125x³ + 216y³ ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²) , thus

125x³ + 216y³

= (5x)³ + (6y)³

= (5x + 6y)((5x)² - 5x(6y) + (6y)² )

= (5x + 6y)(25x² - 30xy + 36y²)

4. fruitsnaxFTW1079 says:

The factorization of the expression of 43x³ + 216y³ is

(7x + 6y)(49x² - 42xy + 36y²)

Step-by-step explanation:

The sum of two cubes has two factors:

1. The first factor is $\sqrt[3]{1st}$ + $\sqrt[3]{2nd}$

2. The second factor is ( $\sqrt[3]{1st}$ )² - ( $\sqrt[3]{1st}$ ) ( $\sqrt[3]{2nd}$ ) + ( $\sqrt[3]{2nd}$ )²

Ex: The expression a³ + b³ is the sum of 2 cubes

The factorization of a³ + b³ is (a + b)(a² - ab + b²)

∵ The expression is 343x³ + 216y³

∵ $\sqrt[3]{343x^{3}}$ = 7x

∵ $\sqrt[3]{216y^{3}}$ = 6y

∴ The first factor is (7x + 6y)

∵ (7x)² = 49x²

∵ (7x)(6y) = 42xy

∵ (6y)² = 36y²

∴ The second factor is (49x² - 42xy + 36y²)

∴ The factorization of 43x³ + 216y³ is (7x + 6y)(49x² - 42xy + 36y²)

The factorization of the expression of 43x³ + 216y³ is

(7x + 6y)(49x² - 42xy + 36y²)

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5. robert7248 says:

B

Step-by-step explanation:

6. Expert says:

step-by-step explanation:

4*4*4*4=256

7. marelinatalia2000 says:

what are my options and what am i factoring because you didn't provide me with an equation.

8. mmblair14 says:

3(343=72y)

Step-by-step explanation:

343x3=1029

1029+216y

both divisible by 3

3(343=72y)

9. swelch2010 says:

Step-by-step explanation:

This is the sum of perfect cubes. There is a pattern that can be followed in order to get it factored properly. First let's figure out why this is in fact a sum of perfect cubes and how we can recognize it as such.

343 is a perfect cube. I can figure that out by going to my calculator and starting to raise each number, in order, to the third power. 1-cubed is 1, 2-cubed is 8, 3-cubed is 27, 4-cubed is 64, 5-cubed is 125, 6-cubed is 216, 7-cubed is 343. In doing that, not only did I determine that 343 is a perfect cube, but I also found that 216 is a perfect cube as well. Obviously, x-cubed and y-cubed are also both perfect cubes. The pattern is

(ax + by)(a^2x^2 - abxy + b^2y^2) where a is the cubed root of 343 and b is the cubed root of 216. a = 7, b = 6. Now we fill in the formula:

(7x + 6y)(7^2x^2 - (7)(6)xy +6^2y^2) which simplifies to

(7x + 6y)(49x^2 - 42xy + 36y^2)

10. Supermate11 says:

(5x + 7y)(25x² - 35xy + 49y²)

Step-by-step explanation:

125x³ + 343y³ ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b³) , thus

125x³ + 243y³

= (5x)³ + (7y)³

= (5x + 7y)((5x)² - 5x(7y) + (7y)² )

= (5x + 7y)(25x² - 35xy + 49y²)

11. obbiesco123 says:

hello from mrbilldoesmath!

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb

$Factor the expression given below. write each factor as a polynomial in descending order. enter expo$

12. Expert says:

square pyramid

step-by-step explanation:

square prism looks like nothing like that

triangular prism has a rectangular base instead of a square base

tetrahedron has a triangular base

$For my math finals respond asap! the figure in the center of the net has four congruent sides. what$