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Factor the expression​

Factor the expression​-example-1

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The factored form of the expression
\(x^2 - 3xy - 33y^2\) is
\((x - 11y)(x + 3y)\).

To factor the expression
\(x^2 - 3xy - 33y^2\), we need to find two binomials whose product is equal to the given expression.

The general form of the quadratic expression
\(ax^2 + bx + c\) can be factored into
\((px + q)(rx + s)\), where p, q, r, and s are constants. In this case, we have:


\[x^2 - 3xy - 33y^2\]

To factor this expression, we need to find two values m and n such that:


\[mn = ac = (1)(-33) = -33\]

m + n = b = -3

The values m and n that satisfy these conditions are m = 11 and n = -3. Now, we can factor the expression:


\[x^2 - 3xy - 33y^2 = (x - 11y)(x + 3y)\]

So, the factored form of the expression
\(x^2 - 3xy - 33y^2\) is
\((x - 11y)(x + 3y)\).

User Petermk
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