因式分解 9pix^2+12pix+4pi

解答

因式分解

9 π x^{2} + 12 π x + 4 π

(5.31736 \dots x + 3.54490 \dots)^{2}

求解步骤

9 π x^{2} + 12 π x + 4 π

将

9 π x^{2} + 12 π x + 4 π

改写为

(9 π x)^{2} + 2 \cdot 5.31736 \dots x \cdot 3.54490 \dots + (4 π)^{2}

= (9 π x)^{2} + 2 \cdot 5.31736 \dots x \cdot 3.54490 \dots + (4 π)^{2}

使用完全平方公式:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

a = 5.31736 \dots x, b = 3.54490 \dots

= (5.31736 \dots x + 3.54490 \dots)^{2}

f a c t or a + (b - c)

f a c t or (m + n)^{2} - 6 (m + n) + 9

f a c t or A B + A B^{^{'}}

f a c t or (x + 5)^{2} - 11 (x - 5)

f a c t or x^{2} + 2 x + 1 - y^{2} + 4 y - 4