What is expand (a^3b^2+1)^2 ?

The solution to expand (a^3b^2+1)^2 is a^6b^4+2a^3b^2+1

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expand (a^3b^2+1)^2

expand

(a^{3} b^{2} + 1)^{2}

a^{6} b^{4} + 2 a^{3} b^{2} + 1

Solution steps

(a^{3} b^{2} + 1)^{2}

Apply Perfect Square Formula:

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

(a^{3} b^{2} + 1)^{2} = (a^{3} b^{2})^{2} + 2 a^{3} b^{2} \cdot 1 + 1^{2}

= (a^{3} b^{2})^{2} + 2 a^{3} b^{2} \cdot 1 + 1^{2}

Simplify

(a^{3} b^{2})^{2} + 2 a^{3} b^{2} \cdot 1 + 1^{2} : a^{6} b^{4} + 2 a^{3} b^{2} + 1

= a^{6} b^{4} + 2 a^{3} b^{2} + 1

(x^{\frac{1}{2}} + y^{\frac{1}{2}})^{12}

lo g_{10} (\frac{a}{b ^{2}})

2 - 22

(6 y^{2} + 5 y^{4}) 2

sec (x) tan^{2} (x) + sec (x)

What is expand (a^3b^2+1)^2 ?
The solution to expand (a^3b^2+1)^2 is a^6b^4+2a^3b^2+1