展开 (a+b)x^3-xy^2(a+b)

解答

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(a + b) x^{3} - x y^{2} (a + b)

a x^{3} + x^{3} b - a x y^{2} - b x y^{2}

求解步骤

(a + b) x^{3} - x y^{2} (a + b)

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

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x^{3} (a + b) : a x^{3} + x^{3} b

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

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- x y^{2} (a + b) : - a x y^{2} - b x y^{2}

= a x^{3} + x^{3} b - a x y^{2} - b x y^{2}

s im pl i f y (2 x y)^{4}

s im pl i f y (x^{2} + 6 x - 15) - (4 x^{2} - 3 x - 5)

s im pl i f y \frac{( 3.542 \cdot 1 0 ^{- 6} ) ^{9}}{( 5.05 \cdot 1 0 ^{4} ) ^{12}}

s im pl i f y 47 + 328

s im pl i f y 1 - \frac{99}{100}