Question

simplify :(5a-2b) (25a^2+10ab+4b^2)-(2a+5b)(4a^2-10ab+25b^2)

Answer 1

Hey we just here need to compare it with the identities
${a}^{3} - { b}^{3} = (a - b)( {a}^{2} + 2ab + {b}^{2} )$
And the remaining part with
${a}^{3} + {b}^{3} = (a + b)( {a}^{2} - ab + {b}^{2} )$
Thus the following will result in

Answer 2

117a³ - 133b³ is the simplified form of the equation (5a - 2b) (25a² + 10ab + 4b²) - (2a + 5b) (4a² - 10ab + 25b²)

Given that,

We have to simplify the equation

The equation is  (5a - 2b) (25a² + 10ab + 4b²) - (2a + 5b) (4a² - 10ab + 25b²)

We know that,

Take the equation

= (5a - 2b) (25a² + 10ab + 4b²) - (2a + 5b) (4a² - 10ab + 25b²).

Multiply the terms

= (125a³ + 50a²b + 20ab² - 50a²b - 20ab² - 8b³) - (8a³ - 20a²b + 50ab² + 20a²b - 50ab² + 125b³)

Cancelling the terms

= (125a³ - 8b³) - (8a³ + 125b³)

Multiplying the - term

= 125a³ - 8b³ - 8a³ - 125b³

By subtraction

= 117a³ - 133b³

Therefore, 117a³ - 133b³ is the simplified form

To know more, visit:

https://brainly.in/question/40434980

https://brainly.in/question/41662105

#SPJ3