What is factor (3a+7)^2-5a(a-4) ?

The solution to factor (3a+7)^2-5a(a-4) is 4(a-(3sqrt(85)-31)/4)(a-(-31-3sqrt(85))/4)

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factor (3a+7)^2-5a(a-4)

factor

(3 a + 7)^{2} - 5 a (a - 4)

4 (a - \frac{3 85 - 31}{4}) (a - \frac{- 31 - 3 85}{4})

Solution steps

(3 a + 7)^{2} - 5 a (a - 4)

Expand

(3 a + 7)^{2} - 5 a (a - 4) : 4 a^{2} + 62 a + 49

= 4 a^{2} + 62 a + 49

Factor

4 a^{2} + 62 a + 49 : 4 (a - \frac{- 31 + 3 85}{4}) (a - \frac{- 31 - 3 85}{4})

= 4 (a - \frac{3 85 - 31}{4}) (a - \frac{- 31 - 3 85}{4})

a x^{2} + b y^{2} + b x^{2} + a y^{2}

50 (x)^{2}

tan^{3} (a) - cot^{3} (a)

cos^{6} (θ) + sin^{6} (x)

\frac{d}{d t} ((P (t)) (k P (t) (1200 - P (t))))

What is factor (3a+7)^2-5a(a-4) ?
The solution to factor (3a+7)^2-5a(a-4) is 4(a-(3sqrt(85)-31)/4)(a-(-31-3sqrt(85))/4)