Question

Subtract: 3x to the power 2 - 6x - 4 from 5 + x - 2xto the power 2.

Answer 1

Answer:

$-8x^2 - 4x + 29$

Step-by-step explanation:

Second expression evaluates to:

$(5 + x -2x)^2 = (5 -x)^2 = (-x+5)^2 = x^2 + 2(-x)(5) +5^2 = x^2 -10x + 25$  (1)

For (1) We are using the rule $(a+b)^2 = a^2 +2ab + b^2$

Here $a = -x, b = 5$

First expression evaluates to

$(3x)^2 -6x - 4 = 9x^2 -6x -4$    (2)

Subtract (2) from (1)

$x^2 - 10x +25 - (9x^2 -6x -4) = x^2-9x^2 -10x - (-6x) +25 -(-4)\\\\= -8x^2 - 4x + 29$