Question

Factorise the following polynomial. 1. (X + 2)² + 5 (x + 2)
2. (3y - 5z)³ + 7 (3y - 5z)²
3. 5 x + 10 Y - 7 (x + 2 y)²
4. (x + y)(3x ‐ 7) ‐ (x + y) (2 x -11


ANSWER ALL THE QUESTIONS ​

Answer 1

$\star\:\:\:\bf\large\underline\blue{Question:-}$

• Factorise the following.

$\star\:\:\:\bf\large\underline\blue{Solution:-}$

• $\bf\large\underline\blue{Question\:1:-}$

${(x + 2)}^{2} + 5(x + 2)$

$= (x + 2)(x + 2 + 5)$

$= (x + 2)(x + 7)$

• $\bf\large\underline\blue{Question\:2:-}$

${(3y - 5z)}^{3} + 7(3y - 5z)^{2}$

$= {(3y - 5z) }^{2} (3y - 5z + 7)$

• $\bf\large\underline\blue{Question\:3:-}$

$5x + 10y - 7 {(x + 2y)}^{2}$

$= 5(x + 2y) - 7 {(x + 2y)}^{2}$

$= (x + 2y)(5 - 7(x + 2y))$

• $\bf\large\underline\blue{Question\:4:-}$

$(x + y)(3x - 7) - (x + y)(2x - 11)$

$= (x + y)(3x - 7 - 2x + 11)$

$= (x + y)(x + 4)$

Answer 2

Answer:

hey watch the above pic for ur answer of the question