Question

(1-2x)^2-4x(x-3) Найдите значение выражения При x= -5/8

Answer 1

$(1 - 2x) {}^{2} - 4x \times (x - 3) \\ \\ 1 - 4x + 4x {}^{2} - 4x {}^{2} + 12x \\ \\ 1 + 8x \\ \\ 1 + 8 \times ( - \frac{5}{8} ) = 1 - 5 = - 4$

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Answer 2

To find the value of the expression (1-2x)^2 - 4x(x-3) when x = -5/8, simply substitute -5/8 for x and perform the calculations step-by-step:

(1 - 2(-5/8))^2 - 4(-5/8)(-5/8 - 3)

First, let's simplify the terms inside the parentheses:

(1 + 5/4)^2 - 4(-5/8)(-29/8)

Next, simplify the terms inside the parentheses further:

(9/4)^2 - 4(-5/8)(-29/8)

Now, square 9/4:

(81/16) - 4(-5/8)(-29/8)

Next, multiply the terms -5/8 and -29/8:

(81/16) - 4(145/64)

Now, multiply 4 and 145/64:

(81/16) - 580/64

To combine the fractions, we need a common denominator, which is 64:

(81/16) - (580/64)

Now, convert 81/16 into the equivalent fraction with a denominator of 64:

(81/16) = (81/16) * (4/4) = 324/64

Now the expression becomes:

324/64 - 580/64

Finally, subtract the fractions:

324/64 - 580/64 = (324 - 580)/64 = -256/64 = -4

So, the value of the expression when x = -5/8 is -4.