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Factorise the expressions. (i) ax^2 +...

Factorise the expressions. (i) `ax^2 + bx`
(ii) `7p^2 + 21q^2`
(iii) `2x^3 + 2xy^2 + 2xz^2`
(iv) `am^2 + bm^2 + bn^2 + an^2`
(v) `(lm + l) + m +1`
(vi) `y(y+z) + 9(y+z)`
(vii) `5y^2 - 20y - 8z + 2yz`
(viii) `10ab + 4a + 5b +2`
(ix) `6xy - 4y + 6 - 9x`

Text Solution

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(i) `ax^2 + bx`
`x(ax+b)`
(ii) `7p^2+ 21q^2`
`= 7(p^2 + 3q^2)`
(iii) `2x^3 + 2xy^2 + 2xz^2`
`2x(x^2 + y^2 + z^2)`
(iv) `am^2 + bm^2 + bn^2 + an^2`
`a(m^2+n^2)+ b(m^2+n^2)`
...
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