What is expand (5w^3y-7w)^2 ?

The solution to expand (5w^3y-7w)^2 is 25w^6y^2-70w^4y+49w^2

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expand (5w^3y-7w)^2

expand

(5 w^{3} y - 7 w)^{2}

25 w^{6} y^{2} - 70 w^{4} y + 49 w^{2}

Solution steps

(5 w^{3} y - 7 w)^{2}

Apply Perfect Square Formula:

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

(5 w^{3} y - 7 w)^{2} = (5 w^{3} y)^{2} - 2 \cdot 5 w^{3} y \cdot 7 w + (7 w)^{2}

= (5 w^{3} y)^{2} - 2 \cdot 5 w^{3} y \cdot 7 w + (7 w)^{2}

Simplify

(5 w^{3} y)^{2} - 2 \cdot 5 w^{3} y \cdot 7 w + (7 w)^{2} : 25 w^{6} y^{2} - 70 w^{4} y + 49 w^{2}

= 25 w^{6} y^{2} - 70 w^{4} y + 49 w^{2}

(5 - - 24) (5 + - 24)

10 (- 4 n - n - 5) - 3 n

12 x^{3} y^{5} - 20 x^{5} y^{2} z

(7 c - d) (7 c + d)

3 (x^{3} + 1) - 1

What is expand (5w^3y-7w)^2 ?
The solution to expand (5w^3y-7w)^2 is 25w^6y^2-70w^4y+49w^2