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(a-b)2 = (a-b)(a-b). You have to multiply each term in the left monomial by each term in the right monomial: a2 - ab - ab + b2 = a2 - 2ab + b2.
When applying distributive property to solve an equation, you multiply each term by term. For instance: a(b + c) = ab + ac
It is an expression and a term that are of equal value
Steps in getting the square of trinomial: 1. Square the first term. 2. Square the second term. 3. Square the last term. 4. Multiply the first and second term, then, square them. 5. Multiply the second and third term, then, square them. 6. Lastly, multiply the first and last term, then, square them. Examples: (a+b+c)^2 1st step: a^2 2nd step: b^2 3rd step: c^2 4th step: ab^2 5th step: bc^2 6th step: ac^2 Then the answer will be, a^2+b^2+c^2+ab^2+bc^2+ac^2. Hope this will help you in your assignment!
b*ab = ab2 Suppose b*ab = ab + b2. Assume a and b are non-zero integers. Then ab2 = ab + b2 b = 1 + b/a would have to be true for all b. Counter-example: b = 2; a = 3 b(ab) = 2(3)(2) = 12 = ab2 = (4)(3) ab + b2 = (2)(3) + (2) = 10 but 10 does not = 12. Contradiction. So it cannot be the case that b = 1 + b/a is true for all b and, therefore, b*ab does not = ab + b2