What is expand (7b^5-b^2)^2 ?

The solution to expand (7b^5-b^2)^2 is 49b^{10}-14b^7+b^4

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expand (7b^5-b^2)^2

expand

(7 b^{5} - b^{2})^{2}

49 b^{10} - 14 b^{7} + b^{4}

Solution steps

(7 b^{5} - b^{2})^{2}

Apply Perfect Square Formula:

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

(7 b^{5} - b^{2})^{2} = (7 b^{5})^{2} - 2 \cdot 7 b^{5} b^{2} + (b^{2})^{2}

= (7 b^{5})^{2} - 2 \cdot 7 b^{5} b^{2} + (b^{2})^{2}

Simplify

(7 b^{5})^{2} - 2 \cdot 7 b^{5} b^{2} + (b^{2})^{2} : 49 b^{10} - 14 b^{7} + b^{4}

= 49 b^{10} - 14 b^{7} + b^{4}

\frac{x ^{2} + 6 x + 9}{x ^{2} - 9}

(5 - 2 x^{4}) (5 + 2 x^{4})

- y^{2} + 3 y^{2} + 2 y^{2}

4 x^{0}

2 ln (e^{6}) - ln (e^{5})

What is expand (7b^5-b^2)^2 ?
The solution to expand (7b^5-b^2)^2 is 49b^{10}-14b^7+b^4