What is factor 49-42a+9a^2 ?

The solution to factor 49-42a+9a^2 is (3a-7)^2

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factor 49-42a+9a^2

factor

49 - 42 a + 9 a^{2}

(3 a - 7)^{2}

Solution steps

49 - 42 a + 9 a^{2}

Write in the standard form

= 9 a^{2} - 42 a + 49

Rewrite in the form of

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

9 a^{2} = (3 a)^{2}

49 = 7^{2}

- 42 a = - 2 \cdot 3 a \cdot 7

= (3 a)^{2} - 2 \cdot 3 a \cdot 7 + 7^{2}

Apply Perfect Square Formula:

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

(3 a)^{2} - 2 \cdot 3 a \cdot 7 + 7^{2} = (3 a - 7)^{2}

= (3 a - 7)^{2}

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