Question

37. Factorize : 5(3x + y)2 + 6(3x + y) – 8​

Answer 1

Answer:

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Answer 2

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┗─━─━─━─━∞◆∞━─━─━─━─┛

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$\bf \implies5(3x + y) {}^{2} + 6(3x + y) - 8$

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Write 6 (3x + y) as difference

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$\bf \implies5 {(3x + y)}^{2} + 10(3x + y) - 4(3x + y) - 8$

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Factor out 5 (3x + y) and 4 from expression

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$\bf \implies5 {(3x + y)}^{2} (3x + y + 2) - 4(3x + y + 2)$

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Factor out 3x + y + 2 from the expression

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$\bf \implies(3x + y + 2)(5(3x + y) - 4)$

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$\bf \implies(3x + y + 2)(15x + 5y - 4)$

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hope it helps you❤✌