To factor the perfect square trinomials, we will look for expressions of the form \((a + b)^2\) or \((a - b)^2\).
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\(x^2 + 6x + 9 = (x + 3)^2\)
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\(x^2 + 10x + 25 = (x + 5)^2\)
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\(9x^2 + 12x + 4 = (3x + 2)^2\)
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\(9x^2 - 30x + 25 = (3x - 5)^2\)
So, the factored forms are:
- \((x + 3)^2\)
- \((x + 5)^2\)
- \((3x + 2)^2\)
- \((3x - 5)^2\)