What is factor 16(m-1)^2+8(m-1)+1 ?

The solution to factor 16(m-1)^2+8(m-1)+1 is (4m-3)^2

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factor 16(m-1)^2+8(m-1)+1

factor

16 (m - 1)^{2} + 8 (m - 1) + 1

(4 m - 3)^{2}

Solution steps

16 (m - 1)^{2} + 8 (m - 1) + 1

Rewrite

16 (m - 1)^{2} + 8 (m - 1) + 1

(4 (m - 1))^{2} + 2 \cdot 4 (m - 1) \cdot 1 + 1^{2}

= (4 (m - 1))^{2} + 2 \cdot 4 (m - 1) \cdot 1 + 1^{2}

Apply Perfect Square Formula:

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

a = 4 (m - 1), b = 1

= (4 (m - 1) + 1)^{2}

Expand

4 (m - 1) + 1 : 4 m - 3

= (4 m - 3)^{2}

x^{135} - x^{27}

x^{2 + x + 6}

- (\frac{5}{2})

(x^{2} - 4 x) - 16

ab + b^{2} - a c - b c

What is factor 16(m-1)^2+8(m-1)+1 ?
The solution to factor 16(m-1)^2+8(m-1)+1 is (4m-3)^2