What is expand 4(x+y)^2-1 ?

The solution to expand 4(x+y)^2-1 is 4x^2+8xy+4y^2-1

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expand 4(x+y)^2-1

expand

4 (x + y)^{2} - 1

4 x^{2} + 8 x y + 4 y^{2} - 1

Solution steps

4 (x + y)^{2} - 1

Expand

(x + y)^{2} : x^{2} + 2 x y + y^{2}

= 4 (x^{2} + 2 x y + y^{2}) - 1

Apply the distributive law:

m (a + b + c) = ma + mb + m c

4 (x^{2} + 2 x y + y^{2}) = 4 x^{2} + 4 \cdot 2 x y + 4 y^{2}

= 4 x^{2} + 4 \cdot 2 x y + 4 y^{2} - 1

Multiply the numbers:

4 \cdot 2 = 8

= 4 x^{2} + 8 x y + 4 y^{2} - 1

8 x^{3} - 16 x^{2} y + 24 x y

(x + 1) (\frac{2 - 3}{x})^{6}

(\frac{a ^{6}}{a ^{3}})^{2}

1.6 x^{2} - 3 x^{2}

5 - 20 x^{- 2}

What is expand 4(x+y)^2-1 ?
The solution to expand 4(x+y)^2-1 is 4x^2+8xy+4y^2-1