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

The solution to (3a+7)^2-5a(a-4) is 4a^2+62a+49

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simplify (3a+7)^2-5a(a-4)

simplify

(3 a + 7)^{2} - 5 a (a - 4)

4 a^{2} + 62 a + 49

Solution steps

(3 a + 7)^{2} - 5 a (a - 4)

Expand

(3 a + 7)^{2} : 9 a^{2} + 42 a + 49

= 9 a^{2} + 42 a + 49 - 5 a (a - 4)

Expand

- 5 a (a - 4) : - 5 a^{2} + 20 a

= 9 a^{2} + 42 a + 49 - 5 a^{2} + 20 a

Group like terms

= 9 a^{2} - 5 a^{2} + 42 a + 20 a + 49

Add similar elements:

9 a^{2} - 5 a^{2} = 4 a^{2}

= 4 a^{2} + 42 a + 20 a + 49

Add similar elements:

42 a + 20 a = 62 a

= 4 a^{2} + 62 a + 49

2 x + 5 y - 3 y

(4^{- 1} + 4^{0}) - (9^{- 1} + 9^{0})

(b^{- 3} c)^{3}

- 12 + (- 7)