Solve Otherfactorizations H2=9 Tiger Algebra Solver

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Enter an equation or problemClear Solve × Camera input is not recognized!axy/|abs|( )789*456-%123+<>0,.=abcabcdefghijklmnopqrstuvwxyz␣.Solution - Other Factorizations h=3 h=3 h=−3 h=-3

Other Ways to Solve

Other Factorizations

Step by Step Solution

Reformatting the input :

Changes made to your input should not affect the solution: (1): "h2" was replaced by "h^2".

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : h^2-(9)=0

Step by step solution :

Step 1 :

Trying to factor as a Difference of Squares :

1.1 Factoring: h2-9 Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)Proof : (A+B) • (A-B) = A2 - AB + BA - B2 = A2 - AB + AB - B2 = A2 - B2Note : AB = BA is the commutative property of multiplication. Note : - AB + AB equals zero and is therefore eliminated from the expression.Check : 9 is the square of 3Check : h2 is the square of h1 Factorization is : (h + 3) • (h - 3)

Equation at the end of step 1 :

(h + 3) • (h - 3) = 0

Step 2 :

Theory - Roots of a product :

2.1 A product of several terms equals zero.When a product of two or more terms equals zero, then at least one of the terms must be zero.We shall now solve each term = 0 separatelyIn other words, we are going to solve as many equations as there are terms in the productAny solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

2.2 Solve : h+3 = 0Subtract 3 from both sides of the equation : h = -3

Solving a Single Variable Equation :

2.3 Solve : h-3 = 0Add 3 to both sides of the equation : h = 3

Two solutions were found :

1. h = 3
2. h = -3

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Why learn this

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