Question

im having a hard time figuring this out. pls help

Answer 1

$\huge \mathfrak \green{Answer}$

$9x {}^{2} + 6x + 1 - 25y {}^{2}$

$(3x) {}^{2} + 2(3x)(1) + (1) {}^{2} - (5y) {}^{2}$

$using \: = a {}^{2} + 2ab + b {}^{2} = (a + b) {}^{2}$

$(3x + 1) {}^{2} - (5y) {}^{2}$

$therefore \: = a {}^{2} - b {}^{2} = (a + b) \times (a - b)$

$(3x + 1 + 5y)(3x + 1 - 5y)$