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If

y=(x-2)(x-1)(2x^(2)+3)+4
what is the value of 
y when 
x=1 ?

If y=(x2)(x1)(2x2+3)+4y=(x-2)(x-1)\left(2 x^{2}+3\right)+4 what is the value of y y when x=1 x=1 ?

Full solution

Q. If y=(x2)(x1)(2x2+3)+4y=(x-2)(x-1)\left(2 x^{2}+3\right)+4 what is the value of y y when x=1 x=1 ?
  1. Given Function and Task: We are given the function y=(x2)(x1)(2x2+3)+4y=(x-2)(x-1)(2x^{2}+3)+4 and asked to find the value of yy when x=1x=1. We will substitute x=1x=1 into the function and simplify.
  2. Substitute x=1x=1: Substitute x=1x=1 into the function: y=(12)(11)(2(1)2+3)+4y=(1-2)(1-1)(2(1)^{2}+3)+4.
  3. Simplify Inside Parentheses: Simplify the terms inside the parentheses: y=(1)(0)(2×1+3)+4y=(-1)(0)(2\times1+3)+4.
  4. Perform Multiplication: Further simplify the expression by performing the multiplication: y=(1)(0)(2+3)+4y=(-1)(0)(2+3)+4.
  5. Final Result: Since any number multiplied by zero is zero, the whole term (1)(0)(5)(-1)(0)(5) becomes zero: y=0+4y=0+4.
  6. Final Result: Since any number multiplied by zero is zero, the whole term (1)(0)(5)(-1)(0)(5) becomes zero: y=0+4y=0+4. Add 44 to the result: y=4y=4.

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