Factorise -10a^4x^2-15a^6x^4+20a^7x^5

1.	Factorise -10a^4x^2-15a^6x^4+20a^7x^5
Answer» align="absmiddle" alt="Given \: -10a^4x^2-15a^6x^4+20a^7x^5" class="latex-formula" ID="TexFormula1" src="https://tex.z-dn.net/?f=%20Given%20%5C%3A%20-10a%5E4x%5E2-15a%5E6x%5E4%2B20a%5E7x%5E5" TITLE="Given \: -10a^4x^2-15a^6x^4+20a^7x^5"> $= (5a^{4}x^{2})(-2) - (5a^{4}x^{2})(3a^{2}x^{2})+(5a^{4}x^{2})(4a^{3}x^{2})$ $= (5a^{4}x^{2})(-2-3a^{2}x^{2} + 4a^{3}x^{2})$ Therefore., $\red{ -10a^4x^2-15a^6x^4+20a^7x^5}$ $\green { = (5a^{4}x^{2})(-2-3a^{2}x^{2} + 4a^{3}x^{2})}$ •••♪

Answer»

align="absmiddle" alt="Given \: -10a^4x^2-15a^6x^4+20a^7x^5" class="latex-formula" ID="TexFormula1" src="https://tex.z-dn.net/?f=%20Given%20%5C%3A%20-10a%5E4x%5E2-15a%5E6x%5E4%2B20a%5E7x%5E5" TITLE="Given \: -10a^4x^2-15a^6x^4+20a^7x^5">

$= (5a^{4}x^{2})(-2) - (5a^{4}x^{2})(3a^{2}x^{2})+(5a^{4}x^{2})(4a^{3}x^{2})$