What is factor 45d^4+210d^3+245d^2 ?

The solution to factor 45d^4+210d^3+245d^2 is 5d^2(3d+7)^2

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factor 45d^4+210d^3+245d^2

factor

45 d^{4} + 210 d^{3} + 245 d^{2}

5 d^{2} (3 d + 7)^{2}

Solution steps

45 d^{4} + 210 d^{3} + 245 d^{2}

Factor out common term

5 d^{2} : 5 d^{2} (9 d^{2} + 42 d + 49)

= 5 d^{2} (9 d^{2} + 42 d + 49)

Factor

9 d^{2} + 42 d + 49 : (3 d + 7) (3 d + 7)

= 5 d^{2} (3 d + 7) (3 d + 7)

Apply exponent rule:

aa = a^{2}

(3 d + 7) (3 d + 7) = (3 d + 7)^{2}

= 5 d^{2} (3 d + 7)^{2}

x - 3 = - 3

9 + 12 i

1400 (1 + \frac{0.06}{12})^{3 \cdot 12}

∣ x - 5 ∣ = ∣ 3 x + 6 ∣

\frac{1}{5} lo g_{a} (x) + 7 lo g_{a} (y) - lo g_{a} (z)

What is factor 45d^4+210d^3+245d^2 ?
The solution to factor 45d^4+210d^3+245d^2 is 5d^2(3d+7)^2