Question

factorise
please solve my question
I will surely make it as brainlist​

Answer 1

$\huge{\underline{\underline{\red{\bf{Given:}}}}}$

• q² - 10q + 21.
• y² + 7y -144 .
• x² - 7x -30.

$\rule{200}4$

$\huge{\underline{\underline{\red{\bf{To\: Find:}}}}}$

• The factorised form of the above expressions.

$\rule{200}4$

$\huge{\underline{\underline{\red{\bf{Concept\:Used:}}}}}$

• We will use middle term splitting to factorise the above.

$\rule{200}4$

$\huge{\underline{\underline{\red{\bf{Answer:}}}}}$

i) q² - 10q + 21.

= q² - 7q - 3q + 21.

= q ( q - 7 ) -3 ( q - 7 ).

= ( q - 3 ) ( q - 7)

$\rule{200}2$

ii) y² + 7y - 144 .

= y² + 16y - 9y -144.

= y ( y + 16 ) -9 ( y + 16 ).

= ( y - 9 ) ( y + 16 ).

$\rule{200}2$

iii) x² - 7x -30.

= x² - 10x + 3x - 30.

= x ( x - 10 ) + 3 ( x - 10 ).

= ( x - 10 ) ( x + 3 ).