What is expand (x+3y-4)^2 ?

The solution to expand (x+3y-4)^2 is x^2+6xy-8x+9y^2-24y+16

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expand (x+3y-4)^2

expand

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

x^{2} + 6 x y - 8 x + 9 y^{2} - 24 y + 16

Solution steps

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

= (x + 3 y - 4) (x + 3 y - 4)

Distribute parentheses

= xx + x \cdot 3 y + x (- 4) + 3 y x + 3 y \cdot 3 y + 3 y (- 4) - 4 x - 4 \cdot 3 y - 4 (- 4)

Simplify

xx + x \cdot 3 y + x (- 4) + 3 y x + 3 y \cdot 3 y + 3 y (- 4) - 4 x - 4 \cdot 3 y - 4 (- 4) : x^{2} + 6 x y - 8 x + 9 y^{2} - 24 y + 16

= x^{2} + 6 x y - 8 x + 9 y^{2} - 24 y + 16

lo g_{10} (5) (125)

\frac{3}{4} + \frac{7}{10}

2 lo g_{3} (9)

4 x^{2} - 12 x - 160

\frac{x + 3}{4} + \frac{x - 5}{3}

What is expand (x+3y-4)^2 ?
The solution to expand (x+3y-4)^2 is x^2+6xy-8x+9y^2-24y+16