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

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

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factor 9a^2+42a+49

factor

9 a^{2} + 42 a + 49

(3 a + 7)^{2}

Solution steps

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}

∣ x - 3 ∣ \geq 0

3 x^{2} - 30 x + 75 = 0

\frac{6 - 7 i}{1 - 2 i}

x^{2} + 8 x - 13 = 0

\frac{( 10 \cdot 1 0 ^{6} )}{1000 + 2 \cdot 10 \cdot 1 0 ^{6}}