DoctorDevil DoctorDevil

25-08-2022
Mathematics

contestada

[tex]64 {a}^{3} + 125 {b}^{3} + 12 {a}^{2} b + 15 {ab}^{2} [/tex]
Factorise the above equation
And send the answer fast please

Respuesta :

25-08-2022

Answer:

Hello,

Step-by-step explanation:

Remember:

[tex]x^3+y^3=(x+y)(x^2-xy+y^2)\\[/tex]

[tex]64a^3+125b^3+12a^2b+15ab^2\\\\=(4a)^3+(5b)^3+3ab(4a+5b)\\\\=(4a+5b)(16a^2-20ab+25b^2)+(4a+5b)*3ab\\\\\boxed{=(4a+5b)(16a^2-17ab+25b^2)}\\[/tex]

Answer Link

Otras preguntas

Please help thanks!!!! 1. true or false decay destroys tooth enamel 2. True or false- tooth decay starts when plaque builds up on your teeth

where can most of the fresh water on the earth be found

Katherine has 32 pop songs in 72 rock songs on her MP3 player that she will be organizing into paulista. Que want to por an erial nombre of pop sounfs and an er

Line m contains the ordered pairs (11,-6) and (7,2). line p is perpendicular to line m and contains the ordered pairs (3,4) and (x,-2). what is the value of x

If a quadrilateral is both a rectangle and a rhombus, then it is a square. *True or False?*

Julio joined an athletic club. There was a one-time fee of $49.95 to join the club, plus a monthly fee of $24.95. Julio has paid $424.20 to be in the club for m

For any positive integer n, the sum of the first n positive integers equals n(n+1)2n(n+1)2. what is the sum of all the even integers between 99 and 301 ?

An organism has a haploid number of 20 what's the number of diploid organim

Read the descriptions below. • Not often in the story of mankind does a man arrive on earth who is both steel and velvet, who is as hard as rock and soft as dr

Identify the statements that describe Georgia's Carl Vinson. Served for over 50 years in Congress. Considered the "Father of the Two Ocean Navy." Believed the U