因式分解 (2r)^2+12r+9

解答

因式分解

(2 r)^{2} + 12 r + 9

(2 r + 3)^{2}

求解步骤

(2 r)^{2} + 12 r + 9

使用指数法则:

(a \cdot b)^{n} = a^{n} b^{n}

= 2^{2} r^{2} + 12 r + 9

将

2^{2} r^{2} + 12 r + 9

改写为

(2 r)^{2} + 2 \cdot 2 r \cdot 3 + 3^{2}

= (2 r)^{2} + 2 \cdot 2 r \cdot 3 + 3^{2}

使用完全平方公式:

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

a = 2 r, b = 3

= (2 r + 3)^{2}

f (x) = (cosh (2 x))^{2}

f a c t or (2Δ x) - 1

f (x) = 9 x^{(2)}

f a c t or \frac{x ^{2}}{25} - 9

f a c t or (- 2 t) - (6 t^{2})