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

The solution to expand (y+1)(x^2+ln(x)) is yx^2+yln(x)+x^2+ln(x)

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expand (y+1)(x^2+ln(x))

expand

(y + 1) (x^{2} + ln (x))

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

Solution steps

(y + 1) (x^{2} + ln (x))

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = y, b = 1, c = x^{2}, d = ln (x)

= y x^{2} + y ln (x) + 1 \cdot x^{2} + 1 \cdot ln (x)

Simplify

y x^{2} + y ln (x) + 1 \cdot x^{2} + 1 \cdot ln (x) : y x^{2} + y ln (x) + x^{2} + ln (x)

= y x^{2} + y ln (x) + x^{2} + ln (x)

2 (x + y^{2}) d x + (y - x) d y

1 + \frac{x ^{6}}{4} - \frac{1}{2} + \frac{1}{4 x ^{6}}

(e^{- x^{2}} - 2 e^{- x^{2}} x)^{2}

What is expand (y+1)(x^2+ln(x)) ?
The solution to expand (y+1)(x^2+ln(x)) is yx^2+yln(x)+x^2+ln(x)