What is factor 49a^4-42a^2b+9b^2 ?

The solution to factor 49a^4-42a^2b+9b^2 is (7a^2-3b)^2

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factor 49a^4-42a^2b+9b^2

factor

49 a^{4} - 42 a^{2} b + 9 b^{2}

(7 a^{2} - 3 b)^{2}

Solution steps

49 a^{4} - 42 a^{2} b + 9 b^{2}

Break the expression into groups

= (49 a^{4} - 21 a^{2} b) + (- 21 a^{2} b + 9 b^{2})

Factor out

7 a^{2}

from

49 a^{4} - 21 a^{2} b : 7 a^{2} (7 a^{2} - 3 b)

Factor out

- 3 b

from

- 21 a^{2} b + 9 b^{2} : - 3 b (7 a^{2} - 3 b)

= 7 a^{2} (7 a^{2} - 3 b) - 3 b (7 a^{2} - 3 b)

Factor out common term

7 a^{2} - 3 b

= (7 a^{2} - 3 b) (7 a^{2} - 3 b)

Apply exponent rule:

aa = a^{2}

(7 a^{2} - 3 b) (7 a^{2} - 3 b) = (7 a^{2} - 3 b)^{2}

= (7 a^{2} - 3 b)^{2}

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

(x^{m})^{\frac{1}{2}}

2 a \cdot b^{2} + b^{3} - 5 b^{2} + 6 a + 3 b - 15

44 z + 20 z^{2} - 15

(\frac{b ^{2}}{c ^{3}})^{9}

What is factor 49a^4-42a^2b+9b^2 ?
The solution to factor 49a^4-42a^2b+9b^2 is (7a^2-3b)^2