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Popular >

simplify 4+3(3+h)-(3+h)^2

Solution

simplify

4 + 3 (3 + h) - (3 + h)^{2}

Solution

- h^{2} - 3 h + 4

Solution steps

4 + 3 (3 + h) - (3 + h)^{2}

Expand

3 (3 + h) : 9 + 3 h

= 4 + 9 + 3 h - (3 + h)^{2}

Expand

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

= 4 + 9 + 3 h - 9 - 6 h - h^{2}

Group like terms

= - h^{2} + 3 h - 6 h + 4 + 9 - 9

Add similar elements:

3 h - 6 h = - 3 h

= - h^{2} - 3 h + 4 + 9 - 9

Add the numbers:

4 + 9 - 9 = 4

= - h^{2} - 3 h + 4

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Frequently Asked Questions (FAQ)

What is 4+3(3+h)-(3+h)^2 ?
The solution to 4+3(3+h)-(3+h)^2 is -h^2-3h+4