Question

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Answer 1

Answer:

15. $13xy - 6x^2 + 5y^2$ $=(3x + y)(5y - 2x)$

16. $121b^2 - 88bc + 16c^2$ $=(11b - 4c)^2$

17. $63a^2 - 112b^2$ $=7(3a + 4b)(3a - 4b)$

Step-by-step explanation:

15. $13xy - 6x^2 + 5y^2$

$=15xy - 2xy - 6x^2 + 5y^2$

$=15xy + 5y^2 - 2xy - 6x^2$

$=5y(3x + y) - 2x(y + 3x)$

$=(3x + y)(5y - 2x)$

16. $121b^2 - 88bc + 16c^2$

$=(11b)^2 - 2.11b.4c + (4c)^2$

$=(11b - 4c)^2$  [using the identity $a^2 - 2ab + b^2 = (a - b)^2$]

17. $63a^2 - 112b^2$

$=7(9a^2 - 16b^2)$

$=7[(3a)^2 - (4b)^2]$

$=7(3a + 4b)(3a - 4b)$  [using the identity $a^2 - b^2 = (a + b)(a - b)$]