展開する log_{10}(a)((x^2+1)4sqrt(x))

解

展開する

lo g_{10} (a) ((x^{2} + 1) 4 x)

4 x^{2} x lo g_{10} (a) + 4 x lo g_{10} (a)

解答ステップ

lo g_{10} (a) ((x^{2} + 1) \cdot 4 x)

括弧を削除する:

(a) = a

= lo g_{10} (a) (x^{2} + 1) \cdot 4 x

= 4 x lo g_{10} (a) (x^{2} + 1)

分配法則を適用する:

a (b + c) = ab + a c

a = lo g_{10} (a) \cdot 4 x, b = x^{2}, c = 1

= lo g_{10} (a) \cdot 4 x x^{2} + lo g_{10} (a) \cdot 4 x \cdot 1

= 4 x^{2} x lo g_{10} (a) + 4 \cdot 1 \cdot x lo g_{10} (a)

数を乗じる:

4 \cdot 1 = 4

= 4 x^{2} x lo g_{10} (a) + 4 x lo g_{10} (a)