What is (a+5)(a-5)-3(a+2)(a-2)+5(a+4) ?

The solution to (a+5)(a-5)-3(a+2)(a-2)+5(a+4) is -2a^2+5a+7

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simplify (a+5)(a-5)-3(a+2)(a-2)+5(a+4)

simplify

(a + 5) (a - 5) - 3 (a + 2) (a - 2) + 5 (a + 4)

- 2 a^{2} + 5 a + 7

Solution steps

(a + 5) (a - 5) - 3 (a + 2) (a - 2) + 5 (a + 4)

Expand

(a + 5) (a - 5) : a^{2} - 25

= a^{2} - 25 - 3 (a + 2) (a - 2) + 5 (a + 4)

Expand

- 3 (a + 2) (a - 2) : - 3 a^{2} + 12

= a^{2} - 25 - 3 a^{2} + 12 + 5 (a + 4)

Expand

5 (a + 4) : 5 a + 20

= a^{2} - 25 - 3 a^{2} + 12 + 5 a + 20

Group like terms

= a^{2} - 3 a^{2} + 5 a - 25 + 12 + 20

Add similar elements:

a^{2} - 3 a^{2} = - 2 a^{2}

= - 2 a^{2} + 5 a - 25 + 12 + 20

Add the numbers:

- 25 + 12 + 20 = 7

= - 2 a^{2} + 5 a + 7

(3 x)^{2} + 2 (3 x) (4) + (4)^{2}

(y + 8) (y - 8)

(3 m - 5 n)^{2}

((- 4)^{4})^{9}

\frac{x + 1}{x ^{2} - x - 2}

What is (a+5)(a-5)-3(a+2)(a-2)+5(a+4) ?
The solution to (a+5)(a-5)-3(a+2)(a-2)+5(a+4) is -2a^2+5a+7