Question

Factorize:y^2+3y+3xy+9x​

Answer 1

Given,

$: \implies {y}^{2} + 3y + 3xy + 9x$

To Find,

• The Factors Of Following Polynomial.

Solution,

$: \implies {y}^{2} + 3y + 3xy + 9x \\ \\ : \implies y \times y + 3 \times y + 3 \times x \times y + 3 \times 3 \times x \\ \\ : \implies y \times (y) + y \times (3) + 3x \times (y) + 3x \times (3) \\ \\ : \implies y \times (y + 3) + 3x \times (y + 3) \\ \\ : \implies (3x + y) \times (y + 3)$

Required Answer,

$: \implies (3x + y)(y + 3)$