Question

splitting the middle term

x^2+5x+6

x^2-5x+6

x^2+5x-6

x^2-5x-6
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Answer 1

Step-by-step explanation:

${x}^{2} + 5x + 6 \\ = {x}^{2} + 3x + 2x + 6 \\ = x(x + 3) + 2(x + 3) \\ = (x + 3)(x + 2)$

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${x}^{2} - 5x + 6 \\ = {x}^{2} - 3x - 2x + 6 \\ = x(x - 3) - 2(x - 3) \\ (x - 3)(x - 2)$

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${x}^{2} + 5x - 6 \\ = {x}^{2} + 6x - x - 6 \\ = x(x + 6) - 1(x + 6) \\ = (x + 6)(x - 1)$

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${x}^{2} - 5x - 6 = \\ = {x}^{2} - 6x + x - 6 \\ = x(x - 6) + 1(x - 6) \\ = (x - 6)(x + 1)$

Answer 2

$\huge{ \underline{ \bold{ᴀɴsᴡᴇʀ....{ \heartsuit}}}}$

$$\begin{lgathered}{x}^{2} + 5x + 6 \\ = {x}^{2} + 3x + 2x + 6 \\ = x(x + 3) + 2(x + 3) \\ = (x + 3)(x + 2)\end{lgathered}$$

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$$\begin{lgathered}{x}^{2} - 5x + 6 \\ = {x}^{2} - 3x - 2x + 6 \\ = x(x - 3) - 2(x - 3) \\ (x - 3)(x - 2)\end{lgathered}$$

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$$\begin{lgathered}{x}^{2} + 5x - 6 \\ = {x}^{2} + 6x - x - 6 \\ = x(x + 6) - 1(x + 6) \\ = (x + 6)(x - 1)\end{lgathered}$$

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$$\begin{lgathered}{x}^{2} - 5x - 6 = \\ = {x}^{2} - 6x + x - 6 \\ = x(x - 6) + 1(x - 6) \\ = (x - 6)(x + 1)\end{lgathered}$$