Question

(5x-3)(2a+5),Expand the given equation.

Answer 1

expanded form of this equation is as follows:-

(5x-3)(2a+5)=0

10xa+25x-6a-15

Answer 2

$\bold{(5 x-3)(2 a+5)=10 a x+25 x-6 a-15}$

Given:

$(5 x-3)(2 a+5)$

Step-by-step explanation:

$\left[\begin{array}{c}{\text { FOIL method: }} \\{(a+b)(c+d)=a c+a d+b c+b d}\end{array}\right]$

On applying FOIL method, we get,

Here,

$a=5x; \ b=-3; \ c=2 a; \ d=5$

Now,

$(5 x-3)(2 a+5)=5 x. 2 a+5 x . 5+(-3) . 2 a+(-3) . 5$

On applying minus - plus rules, we get,

$(5 x-3)(2 a+5)=5 . 2 a x+5 . 5 x-3 . 2 a-3 . 5$

$\therefore (5 x-3)(2 a+5)=10 a x+25 x-6 a-15$