What is expand (7a^2b^3+5x^4)^2 ?

The solution to expand (7a^2b^3+5x^4)^2 is 49a^4b^6+70a^2b^3x^4+25x^8

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expand (7a^2b^3+5x^4)^2

expand

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

49 a^{4} b^{6} + 70 a^{2} b^{3} x^{4} + 25 x^{8}

Solution steps

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

Apply Perfect Square Formula:

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

(7 a^{2} b^{3} + 5 x^{4})^{2} = (7 a^{2} b^{3})^{2} + 2 \cdot 7 a^{2} b^{3} \cdot 5 x^{4} + (5 x^{4})^{2}

= (7 a^{2} b^{3})^{2} + 2 \cdot 7 a^{2} b^{3} \cdot 5 x^{4} + (5 x^{4})^{2}

Simplify

(7 a^{2} b^{3})^{2} + 2 \cdot 7 a^{2} b^{3} \cdot 5 x^{4} + (5 x^{4})^{2} : 49 a^{4} b^{6} + 70 a^{2} b^{3} x^{4} + 25 x^{8}

= 49 a^{4} b^{6} + 70 a^{2} b^{3} x^{4} + 25 x^{8}

(11 - 7 i) + (2 - 5 i)

x^{2} - 14 x

(g + 2)^{5}

(k^{2} - 5 k - 2) (k^{2} + 2)

4 x (3 x - 2 y^{2})

What is expand (7a^2b^3+5x^4)^2 ?
The solution to expand (7a^2b^3+5x^4)^2 is 49a^4b^6+70a^2b^3x^4+25x^8