Question

What is the full formula for (x+a)(x+b)(x-c)
Pls tell

Answer 1

Answer:

(x+a)(x+b)= x²+(a+b)+ab

Step-by-step explanation:

(x+a)(x+b)(x+c)

= [(x+a)(x+b)](x+c)

= [x²+(a+b)x+ab](x+c)

= [x²+(a+b)x+ab]x+[x²+(a+b)x+ab]c

= x³+(a+b)x²+abx + x²c+(a+b)cx+abc

= x³+(a+b+c)x²+(ab+bc+ca)x+abc

Therefore,

(x+a)(x+b)(x+c)

= x³+(a+b+c)x²+(ab+bc+ca)x+abc