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### Grade 8 - Mathematics7.36 Special Products: (x+a)(x+b)(x+c)

#### Formula : (x+a)(x+b)(x+c) = x3+x2(a+b+c)+x(ab+bc+ca)+abc

Example:
Find the product of (1+a)(1+b)(1+c).
Solution:
Using above formula,
Here a=a, b=b, c=c and x=1
(x+a)(x+b)(x+c) = (1+a)(1+b)(1+c)
= 13+12(a+b+c)+1(ab+bc+ca)+abc
= 1+a+b+c+ab+bc+ac+abc

Directions: Solve the following problems. Also write at least ten examples of your own.
 Q 1: Find the product of (x+3)(x+5)(x+7).x3+15x2+71x+125None of thesex3+15x2+71x+105x3+15x2+56x+105 Q 2: Find the product of (x-4)(x-3)(x-2).x3-9x2+28x-24x3-9x2+26x-24x3-9x2+26x-12None of these Question 3: This question is available to subscribers only! Question 4: This question is available to subscribers only!

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