What is (9x^2-y^2)/(21x+7y) ?

The solution to (9x^2-y^2)/(21x+7y) is (3x-y)/7

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simplify (9x^2-y^2)/(21x+7y)

simplify

\frac{9 x ^{2} - y ^{2}}{21 x + 7 y}

\frac{3 x - y}{7}

Solution steps

\frac{9 x ^{2} - y ^{2}}{21 x + 7 y}

Factor

9 x^{2} - y^{2} : (3 x + y) (3 x - y)

= \frac{( 3 x + y ) ( 3 x - y )}{21 x + 7 y}

Factor

21 x + 7 y : 7 (3 x + y)

= \frac{( 3 x + y ) ( 3 x - y )}{7 ( 3 x + y )}

Cancel the common factor:

3 x + y

= \frac{3 x - y}{7}

3 x^{2} - x - 4 = - 3 x

\frac{12 a ^{3} + 33 a b ^{2} - 35 a ^{2} b - 10 ab}{4 a - 5 b}

4 - 3 (r + 2) = 6 - 8 (1 + 3 r)

b^{2} - 9 b + 8

lo g_{4} (256) = x