Evaluate:
$(a b + b c)^{2} - 2 a b^{2} c$

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Solution

$(a b + b c)^{2} - 2 a b^{2} c$

$= a^{2} b^{2} + b^{2} c^{2} + 2 a b^{2} c - 2 a b^{2} c$

$= b^{2} (a^{2} + c^{2})$ .

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(a b + b c)^{2} - 2 a b^{2} c

Question 4(vi)
Simplify:
$(a b + b c)^{2} - 2 a b^{2} c$

Question 4(vi)
Simplify:
$(a b + b c)^{2} - 2 a b^{2} c$

Simplify.

(i) (a² − b²)²(ii) (2x +5)² − (2x − 5)²

(iii) (7m − 8n)² + (7m + 8n)² (iv) (4m + 5n)² + (5m + 4n)²

(v) (2.5p − 1.5q)² − (1.5p − 2.5q)²

(vi) (ab + bc)² − 2ab²c (vii) (m² − n²m)² + 2m³n²

∣ ∣ (a b + c a^{2}) (b c + a b^{2}) (c a + b c^{2}) ∣ ∣

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