Factorize m(m-1)-n(n-1)

1.	Factorize m(m-1)-n(n-1)
Answer» $Answer$ m(m-1) - N(n-1) = m² - m - n² + n = m² - n² - m + n = (m + n) (m - n) - 1(m -n) = (m - n) (m + n + 1) $Captain America Shieldhtml, body {background:#0846A8;height: 500px;}.container {width:100%;height: 100%;display: flex;justify-content: center;align-items: center;}.circle {border-radius: 50%;display: flex;flex-direction: row;justify-content: center;align-items: center;border:1px solid #000;}.outer-lv3 {background-image: linear-gradient(#870000,#FF4040,#870000);height: 260px;width: 260px;-webkit-animation: turning 8s infinite linear;animation: turning 8s infinite linear;}@-webkit-keyframes turning {0% {transform: rotate(0deg)}100% {transform: rotate(360deg)}}@keyframes turning {0% {transform: rotate(0deg)}100% {transform: rotate(360deg)}}.outer-lv2 {background: #fff;background-image: linear-gradient(#DBD9D9,#FAFAFA,#DBD9D9);height: 210px;width: 210px;}.outer-lv1 {background-image: linear-gradient(#870000,#FF4040,#870000);height: 150px;width: 150px;}.center {background-image: linear-gradient(#0846A8,#277AFF,#0846A8);height: 100px;width: 100px;border-radius: 50%;position: relative;overflow: hidden;border:1px solid #000;}.arrow {border-top: 35px solid #EDE8E8;border-bottom: 48px solid rgba(0,0,0,0.0);border-left: 48px solid transparent;border-right: 48px solid transparent;position: absolute;height: 0;width: 0;}.top {top: 35px;left: 2px;}.left {transform: rotate(72deg);top: 16px;left: -24px;}.right {transform: rotate(-72deg);top: 16px;left: 25px;}$ Hope it HELPS you .... MARK my answer as BRAINLIEST...

Answer»

$Answer$

m(m-1) - N(n-1)

= m² - m - n² + n

= m² - n² - m + n

= (m + n) (m - n) - 1(m -n)

= (m - n) (m + n + 1)

$Captain America Shieldhtml, body {background:#0846A8;height: 500px;}.container {width:100%;height: 100%;display: flex;justify-content: center;align-items: center;}.circle {border-radius: 50%;display: flex;flex-direction: row;justify-content: center;align-items: center;border:1px solid #000;}.outer-lv3 {background-image: linear-gradient(#870000,#FF4040,#870000);height: 260px;width: 260px;-webkit-animation: turning 8s infinite linear;animation: turning 8s infinite linear;}@-webkit-keyframes turning {0% {transform: rotate(0deg)}100% {transform: rotate(360deg)}}@keyframes turning {0% {transform: rotate(0deg)}100% {transform: rotate(360deg)}}.outer-lv2 {background: #fff;background-image: linear-gradient(#DBD9D9,#FAFAFA,#DBD9D9);height: 210px;width: 210px;}.outer-lv1 {background-image: linear-gradient(#870000,#FF4040,#870000);height: 150px;width: 150px;}.center {background-image: linear-gradient(#0846A8,#277AFF,#0846A8);height: 100px;width: 100px;border-radius: 50%;position: relative;overflow: hidden;border:1px solid #000;}.arrow {border-top: 35px solid #EDE8E8;border-bottom: 48px solid rgba(0,0,0,0.0);border-left: 48px solid transparent;border-right: 48px solid transparent;position: absolute;height: 0;width: 0;}.top {top: 35px;left: 2px;}.left {transform: rotate(72deg);top: 16px;left: -24px;}.right {transform: rotate(-72deg);top: 16px;left: 25px;}$