Question

factorise:(2a+3b) square -5(2a+3b)-14

Answer 1

Answer :

$(2a + 3b {)}^{2} - 5(2a + 3b) -1 4 \\ \\ write \: - 5(2a + 3b) \: as \: a \: difference \\ \\ (2a + 3b {)}^{2} + 2(2a + 3b) - 7(2a + 3b) - 14 \\ \\ 2a + 3b \: is \: a \: common \: factor \\ \\ (2a + 3b)(2a + 3b + 2) - 7(2a + 3b) - 14 \\ \\ - 7 \: is \: a \: common \: factor \\ \\ (2a + 3b)(2a + 3b + 2) - 7(2a + 3b + 2$

$factor \: out \: 2a + 3b + 2 \: from \: the \: expression \\ \\ we \: get \\ \\ (2a + 3b + 2)(2a + 3b - 7)$


HOPE IT WOULD HELP YOU