# Eight times a number, increasedby twenty-fiveTwenty-one less than bwice anumber—HEL

Eight times a number, increased by twenty-five
Twenty-one less than bwice a
number

HEL

## This Post Has 4 Comments

1. Expert says:

hello from mrbilldoesmath!

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

discussion:

in general, the factorization of a^3 + b^3 is

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

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

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

you,

mrb

(a + b) (a^2 - a b + b^2)

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

2. Expert says:

step-by-step explanation:

the multiplicative inverse of a fraction a/b is b/a. for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth 1/5 or 0.2, and the reciprocal of 0.25 is 1 divided by 0.25, or 4.

3. Expert says:

roots are from trees

step-by-step explanation:

4. Expert says:

idk

step-by-step explanation:

$The vector 6,-5 is reflected across the y=x and the resulting matrix is dilated by a scale of -1.5$