What is a^2-b^2+6b-9+(3-b)^2 ?

The solution to a^2-b^2+6b-9+(3-b)^2 is a^2

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simplify a^2-b^2+6b-9+(3-b)^2

simplify

a^{2} - b^{2} + 6 b - 9 + (3 - b)^{2}

a^{2}

Solution steps

a^{2} - b^{2} + 6 b - 9 + (3 - b)^{2}

Expand

(3 - b)^{2} : 9 - 6 b + b^{2}

= a^{2} - b^{2} + 6 b - 9 + 9 - 6 b + b^{2}

Group like terms

= a^{2} - b^{2} + b^{2} + 6 b - 6 b - 9 + 9

Add similar elements:

- b^{2} + b^{2} = 0

= a^{2} + 6 b - 6 b - 9 + 9

Add similar elements:

6 b - 6 b = 0

= a^{2} - 9 + 9

Add the numbers:

- 9 + 9 = 0

= a^{2}

6 \times \frac{4}{5}

lo g_{10} (100 0^{x})

lo g_{10} (9) (27)

lo g_{4} (164)

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