Find a conjugate of the expression and the product of the expression with the conjugate. NOTE Simplify your answer if possible. 3+√2 The conjugate is The product is ***** 1

Multiply. (2u² – 4u- 3)(6u+ 7) Simplify your answer.

(NFQ1)   Hello! I just want to ask for help whether the answers in the given pictures are correct. If it's not, please help me recheck and resolve it. Please refer to the given pictures below for the answers and questions. Please read the instructions and directions very carefully. Double and triple check your answers, previous tutors got it wrong.   PROBLEM/SITUATION: 1.) Prove that the product xy of two real numbers x and y is nonnegative if and only if the absolute value |x +y| of their sum is the sum |x| + |y| of their absolute values.    For no.1: Recall that |x| = x iff x >= 0 Show ab < 0 leads to a contradiction. Then assume ab>=0. Prove by cases: (i) Let ab=0. (ii) Let ab > 0   NOTE: Type only your answers. Please do not handwritten your answers. Make sure your formulas, solutions and answers' format are all correct.

Find the quotient and remainder. (162 + 28a? – 6æ – 5) ÷ (4x + 2) The quotient is