What is factor 25x^2+90x+81 ?

The solution to factor 25x^2+90x+81 is (5x+9)^2

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factor 25x^2+90x+81

factor

25 x^{2} + 90 x + 81

(5 x + 9)^{2}

Solution steps

25 x^{2} + 90 x + 81

Rewrite in the form of

a^{2} + 2 ab + b^{2} :

25 x^{2} = (5 x)^{2}

81 = 9^{2}

90 x = 2 \cdot 5 x \cdot 9

= (5 x)^{2} + 2 \cdot 5 x \cdot 9 + 9^{2}

Apply Perfect Square Formula:

a^{2} + 2 ab + b^{2} = (a + b)^{2}

(5 x)^{2} + 2 \cdot 5 x \cdot 9 + 9^{2} = (5 x + 9)^{2}

= (5 x + 9)^{2}

7 x^{2} - 3 x = 2

8 (x + 1)^{- 9} + 5 (x + 1)^{- 8}

3 - 0

∣ x + 2 ∣ = 2

(3 y^{5}) (5 y^{4})