Question

Factorise the expressions

A. x^2+8x+15
B.a^2-20a+52​

Answer 1

Answer:

${x}^{2} + 8x + 15 \\ {x}^{2} + 5x + 3x + 15 \\ x(x + 5) + 3(x + 5) \\ (x +5)(x + 3)$

Thank you. The second seems a bit difficult

Answer 2

Question:

• $x^{2} + 8x + 15$
• $x^{2} - 20x + 52$

To Find:

${\boxed{The factorization of the Equations:}}$

Concept:

By using the middle-splitting factor theorem.

Answer:

• $x^{2} + 8x + 15$

$\Rightarrow x^{2} + (5 + 3)x + 15$

$\Rightarrow x^{2} + 5x + 3x + 15$

$\Rightarrow x(x + 5) + 3(x + 5)$

By taking the commons ,we get:

$\Rightarrow (x + 5)(x + 3)$

$\therefore x = -5\\x = -3$