How do you factor 42r² -3rt - 9t²?

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How do you factor 42r² -3rt - 9t²?

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Answer 1 · 2015-06-03T07:35:06

$42 r^{2} - 3 r t - 9 t^{2} = 42 r^{2} - 21 r t + 18 r t - 9 t^{2} = 21 r (2 r - t) + 9 t (2 r - t) = (21 r + 9 t) (2 r - t) = 3 (7 r + 3 t) (2 r - t)$ $42r^2 - 3rt - 9t^2 = 42r^2 - 21rt+ 18rt - 9t^2 = 21r( 2r - t) +9t( 2r-t) = (21r +9t)(2r-t) = 3(7r+3t)(2r-t)$

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How do you factor 42r² -3rt - 9t²?

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