What is expand (((64x+32)(2x+1)))/2 ?

The solution to expand (((64x+32)(2x+1)))/2 is 64x^2+64x+16

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expand (((64x+32)(2x+1)))/2

expand

\frac{( ( 64 x + 32 ) ( 2 x + 1 ) )}{2}

64 x^{2} + 64 x + 16

Solution steps

\frac{( 64 x + 32 ) ( 2 x + 1 )}{2}

Factor

(64 x + 32) (2 x + 1) : 32 (2 x + 1)^{2}

= \frac{32 ( 2 x + 1 ) ^{2}}{2}

Divide the numbers:

\frac{32}{2} = 16

= 16 (2 x + 1)^{2}

(2 x + 1)^{2} = 4 x^{2} + 4 x + 1

= 16 (4 x^{2} + 4 x + 1)

Distribute parentheses

= 16 \cdot 4 x^{2} + 16 \cdot 4 x + 16 \cdot 1

Simplify

16 \cdot 4 x^{2} + 16 \cdot 4 x + 16 \cdot 1 : 64 x^{2} + 64 x + 16

= 64 x^{2} + 64 x + 16

(- 1, - π, \frac{1}{2 π}) \cdot (- π, - 2, 0)

2 (6 e + 2)

\frac{1}{( p ( a - p ) )}

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

4 + e^{- 2 t} (sin (t) + cos (t))

What is expand (((64x+32)(2x+1)))/2 ?
The solution to expand (((64x+32)(2x+1)))/2 is 64x^2+64x+16