What is expand (3a-1/4 b)^2 ?

The solution to expand (3a-1/4 b)^2 is (144a^2-24ab+b^2)/(16)

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expand (3a-1/4 b)^2

expand

(3 a - \frac{1}{4} b)^{2}

\frac{144 a ^{2} - 24 ab + b ^{2}}{16}

Solution steps

(3 a - \frac{1}{4} b)^{2}

Apply Perfect Square Formula:

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

(3 a - \frac{1}{4} b)^{2} = (3 a)^{2} - 2 \cdot 3 a \frac{1}{4} b + (\frac{1}{4} b)^{2}

= (3 a)^{2} - 2 \cdot 3 a \frac{1}{4} b + (\frac{1}{4} b)^{2}

Simplify

(3 a)^{2} - 2 \cdot 3 a \frac{1}{4} b + (\frac{1}{4} b)^{2} : \frac{144 a ^{2} - 24 ab + b ^{2}}{16}

= \frac{144 a ^{2} - 24 ab + b ^{2}}{16}

\frac{\partial}{\partial y} ((z) (x^{2} + 3 x y + y^{2}))

(a e - b d)^{2} + (a f - c d)^{2} + (b f - ce)^{2}

(A + B = 2,) (- 2 A + C = 3)

\frac{5 ( 3 b ^{2} + 4 b - 6 )}{4}

(x - x - 1)^{2}

What is expand (3a-1/4 b)^2 ?
The solution to expand (3a-1/4 b)^2 is (144a^2-24ab+b^2)/(16)