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Factorisation by Common Factors

vii Factorise...

Question

Question 2(vii)
Factorise the following expressions
$10 a^{2} - 15 b^{2} + 20 c^{2}$

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Solution

$10 a^{2} = 2 \times 5 \times a \times a 15 b^{2} = 3 \times 5 \times b \times b 20 c^{2} = 2 \times 2 \times 5 \times c \times c T h e c o m m o n f a c t o r i s 5 10 a^{2} - 15 b^{2} + 20 c^{2} = (2 \times 5 \times a \times a) - (3 \times 5 \times b \times b) + (2 \times 2 \times 5 \times c \times c) = 5 [(2 \times a \times a) - (3 \times b \times b) + (2 \times 2 \times c \times c)] = 5 (2 a^{2} - 3 b^{2} + 4 c^{2})$

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Similar questions

10 a^{2} - 15 b^{2} + 20 c^{2}

10 a^{2} - 15 b^{2} + 20 c^{2}

Q. Question 2(vii)
Factorise the following expressions

10 a^{2} - 15 b^{2} + 20 c^{2}

Factorise the following expressions

(i) 7x − 42

(ii) 6p − 12q

(iii) 7a² + 14a

(iv) −16z + 20z³

(v) 20l²m + 30 alm

(vi) 5x²y − 15xy²

(vii) 10a² − 15b² + 20c²

(viii) −4a² + 4ab − 4 ca

(ix) x²yz + xy²z + xyz²

(x) ax²y + bxy² + cxyz

Factories the following expressions.
(i) $7 x - 42$

6 p - 12 q

7 a^{2} + 14 a

- 16 z + 20 z^{2}

20 l^{2} m + 30 a l m

5 x^{2} y - 15 x y^{2}

10 a^{2} - 15 b^{2} + 20 c^{2}

- 4 a^{2} + 4 a b - 4 c a

x^{2} y z + x y^{2} z + x y z^{2}

a x^{2} y + b x y^{2} + c x y z

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Factorisation by Common Factors

Standard VIII Mathematics

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