Question

(5а-5б)х(3а+4б)=(5а+3а)(-2х+4х)=8а х 2х

Answer 1

(5a-5b)(3a+4b)=(5a+3a)(-2x+4x)=8a*2x

15a^2+20ab-15ab-20b^2=8a*2x=8a*2x

15a^2+5ab-20b^2=16ax=16ax

15a^2+5ab-20b^2=16ax-16ax

15a^2+5ab-20b^2= 5(3a^2+ab-4b^2)

Answer 2

Let's first simplify the left-hand side of the equation:

(5a - 5b) * (3a + 4b) = 5a * 3a + 5a * 4b - 5b * 3a - 5b * 4b // applying distributive property = 15a^2 + 20ab - 15ab - 20b^2 = 15a^2 + 5ab - 20b^2 // combining like terms

Now let's simplify the right-hand side:

(5a + 3a) * (-2x + 4x) = 8a * 2x // combining like terms and simplifying

Therefore, we have:

(5a - 5b) * (3a + 4b) = (5a + 3a) * (-2x + 4x) 15a^2 + 5ab - 20b^2 = 8a * 2x 15a^2 + 5ab - 20b^2 = 16ax

And that is the simplified equation.