What is factor (5a-3b)^2+8(5a-3b)+16 ?

The solution to factor (5a-3b)^2+8(5a-3b)+16 is (5a-3b+4)^2

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factor (5a-3b)^2+8(5a-3b)+16

factor

(5 a - 3 b)^{2} + 8 (5 a - 3 b) + 16

(5 a - 3 b + 4)^{2}

Solution steps

(5 a - 3 b)^{2} + 8 (5 a - 3 b) + 16

Rewrite

(5 a - 3 b)^{2} + 8 (5 a - 3 b) + 16

(5 a - 3 b)^{2} + 2 (5 a - 3 b) \cdot 4 + 4^{2}

= (5 a - 3 b)^{2} + 2 (5 a - 3 b) \cdot 4 + 4^{2}

Apply Perfect Square Formula:

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

a = (5 a - 3 b), b = 4

= ((5 a - 3 b) + 4)^{2}

Refine

= (5 a + 4 - 3 b)^{2}

500 - 5 x^{50}

t^{2} - 1 t + 0.25

(x + 2)^{2} + 6

a b^{(2)} + a + b + 1

75 x^{2 - 12 y^{2}}

What is factor (5a-3b)^2+8(5a-3b)+16 ?
The solution to factor (5a-3b)^2+8(5a-3b)+16 is (5a-3b+4)^2