What is factor 4h^2-25g^2 ?

The solution to factor 4h^2-25g^2 is (2h+5g)(2h-5g)

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factor 4h^2-25g^2

factor

4 h^{2} - 25 g^{2}

(2 h + 5 g) (2 h - 5 g)

Solution steps

4 h^{2} - 25 g^{2}

4 h^{2} = (2 h)^{2}

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

= (2 h)^{2} - (5 g)^{2}

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

(2 h)^{2} - (5 g)^{2} = (2 h + 5 g) (2 h - 5 g)

= (2 h + 5 g) (2 h - 5 g)

(x + 5) (x - 4) = (x + 5)

7 = 4 x - 5

9 x^{2} + 63 x + 90 \leq 0

(\frac{1}{2})^{2} + (\frac{1}{2})^{2}

\frac{7}{3 - 7 i}