How do you simplify $2( 4x - 5) + 5( - 2x + 3)$ as a binomial?

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Answer 1 · 2017-11-30T11:15:51

$5-2x$ or $5(1-(2x)/5)^1$

$2(4x-5)+5(-2x+3) = 8x-10-10x+15$

$=-2x+5 =5-2x$

If you want to get this in the other binomial form of $a(1+bx)^n$ we must divide both sides by 5:
$5(1-(2x)/5)^1$

This can be proved as $(a+bx)^n=a^n(1+(bx)/a)^n$

For $n=1$ we get:
$a^n(1+(bx)/a)^1=a^1(1+(bx)/a)=a(1+1((bx)/a))=a(1+(bx)/a)$

How do you simplify 2( 4x - 5) + 5( - 2x + 3)2( 4x - 5) + 5( - 2x + 3) as a binomial?